TY  - CONF
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Lu, Chun-An
AU  - Lazović, Goran
AU  - Milošević, Dušan
PY  - 2019
UR  - https://dais.sanu.ac.rs/123456789/6974
AB  - Considering the extremely growing exigency for further miniaturization and a higher level of packaging of electronic circuits and components, this paper is aimed at developing a more sophisticated application of fractals. In this sense, the progress in the development of the mathematical-physical tool in further upgrading of fractal microelectronics is presented here. Barium titanate samples with bayi yttrium samples are used as the experimental basis under conditions of using the highest levels of nanotechnology, especially grain deposition. In this regard, the ideas of complex fractal analysis will be elaborated in this paper. Examples of complex fractal dimensions are known in the literature. The relationship between fBm (Fractional Brown motion) and Bm is given by the left-sided Riemann-Liuville fractional integral When is H=0.5, in the above equation, fBm and Bm is matching.For H >0.5 the process is positive, and for H <0.5 negatively correlated. It shows that the imaginary part of the fractal dimension is translated into log-periodic modulation, which completes the behavior by leading a degree law, and is based on discrete fractal symmetry. In particular, complex Brownian motion can be generated based on 1d complex Brownian motion in matlab code. There is also a corresponding fractional calculus of complex order. Other parallels with electrical processes in BatiO3 ceramics are also possible.
PB  - Belgrade : Serbian Ceramic Society
C3  - Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019
T1  - Complex fractal dimension and possible application in electronic ceramics
SP  - 48
EP  - 48
UR  - https://hdl.handle.net/21.15107/rcub_dais_6974
ER  - 

@conference{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Lu, Chun-An and Lazović, Goran and Milošević, Dušan",
year = "2019",
abstract = "Considering the extremely growing exigency for further miniaturization and a higher level of packaging of electronic circuits and components, this paper is aimed at developing a more sophisticated application of fractals. In this sense, the progress in the development of the mathematical-physical tool in further upgrading of fractal microelectronics is presented here. Barium titanate samples with bayi yttrium samples are used as the experimental basis under conditions of using the highest levels of nanotechnology, especially grain deposition. In this regard, the ideas of complex fractal analysis will be elaborated in this paper. Examples of complex fractal dimensions are known in the literature. The relationship between fBm (Fractional Brown motion) and Bm is given by the left-sided Riemann-Liuville fractional integral When is H=0.5, in the above equation, fBm and Bm is matching.For H >0.5 the process is positive, and for H <0.5 negatively correlated. It shows that the imaginary part of the fractal dimension is translated into log-periodic modulation, which completes the behavior by leading a degree law, and is based on discrete fractal symmetry. In particular, complex Brownian motion can be generated based on 1d complex Brownian motion in matlab code. There is also a corresponding fractional calculus of complex order. Other parallels with electrical processes in BatiO3 ceramics are also possible.",
publisher = "Belgrade : Serbian Ceramic Society",
journal = "Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019",
title = "Complex fractal dimension and possible application in electronic ceramics",
pages = "48-48",
url = "https://hdl.handle.net/21.15107/rcub_dais_6974"
}

Vosika, Z. B., Mitić, V. V., Lu, C., Lazović, G.,& Milošević, D.. (2019). Complex fractal dimension and possible application in electronic ceramics. in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019
Belgrade : Serbian Ceramic Society., 48-48.
https://hdl.handle.net/21.15107/rcub_dais_6974

Vosika ZB, Mitić VV, Lu C, Lazović G, Milošević D. Complex fractal dimension and possible application in electronic ceramics. in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019. 2019;:48-48.
https://hdl.handle.net/21.15107/rcub_dais_6974 .

Vosika, Zoran B., Mitić, Vojislav V., Lu, Chun-An, Lazović, Goran, Milošević, Dušan, "Complex fractal dimension and possible application in electronic ceramics" in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019 (2019):48-48,
https://hdl.handle.net/21.15107/rcub_dais_6974 .

TY  - CONF
AU  - Mitić, Vojislav V.
AU  - Vosika, Zoran B.
AU  - Lazović, Goran
PY  - 2019
UR  - https://dais.sanu.ac.rs/123456789/6975
AB  - Analysis of ceramic grain boundaries, esspecially for BaTiO3 , is also important for its dielectric and conductive properties. In this regard, the fractal analysis was highlighted. The grain contacts geometry based on intergranular contact surface fractal morphology was the subject of our long term research. A new approach based on complex dimension fractal geometry and correlation between microstructurenanostructure and rare-earth properties and other additives doped BaTiO3-ceramics and electronics properties, is applied . In addition to the continuous type of scaling typical for real standard fractal objects, complex objects are considered here, which also have a discrete scaling symmetry with logarithmic space period. That rely on their appearance on the various , micro and macro, electrical and other properties of BaTiO3-ceramics.
PB  - Belgrade : Serbian Ceramic Society
C3  - Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019
T1  - Electronics ceramics grain boundaries and complex fractal dimension
SP  - 48
EP  - 48
UR  - https://hdl.handle.net/21.15107/rcub_dais_6975
ER  - 

@conference{
author = "Mitić, Vojislav V. and Vosika, Zoran B. and Lazović, Goran",
year = "2019",
abstract = "Analysis of ceramic grain boundaries, esspecially for BaTiO3 , is also important for its dielectric and conductive properties. In this regard, the fractal analysis was highlighted. The grain contacts geometry based on intergranular contact surface fractal morphology was the subject of our long term research. A new approach based on complex dimension fractal geometry and correlation between microstructurenanostructure and rare-earth properties and other additives doped BaTiO3-ceramics and electronics properties, is applied . In addition to the continuous type of scaling typical for real standard fractal objects, complex objects are considered here, which also have a discrete scaling symmetry with logarithmic space period. That rely on their appearance on the various , micro and macro, electrical and other properties of BaTiO3-ceramics.",
publisher = "Belgrade : Serbian Ceramic Society",
journal = "Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019",
title = "Electronics ceramics grain boundaries and complex fractal dimension",
pages = "48-48",
url = "https://hdl.handle.net/21.15107/rcub_dais_6975"
}

Mitić, V. V., Vosika, Z. B.,& Lazović, G.. (2019). Electronics ceramics grain boundaries and complex fractal dimension. in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019
Belgrade : Serbian Ceramic Society., 48-48.
https://hdl.handle.net/21.15107/rcub_dais_6975

Mitić VV, Vosika ZB, Lazović G. Electronics ceramics grain boundaries and complex fractal dimension. in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019. 2019;:48-48.
https://hdl.handle.net/21.15107/rcub_dais_6975 .

Mitić, Vojislav V., Vosika, Zoran B., Lazović, Goran, "Electronics ceramics grain boundaries and complex fractal dimension" in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019 (2019):48-48,
https://hdl.handle.net/21.15107/rcub_dais_6975 .

TY  - CONF
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Vosika, Zoran B.
AU  - Paunović, Vesna
AU  - Veljković, Sandra
AU  - Danković, Danijel
AU  - Vlahović, Branislav
PY  - 2018
UR  - https://dais.sanu.ac.rs/123456789/4088
AB  - Well known material with ferroelectric properties, BaTiO3-ceramics, have many advanced applications. Fractal approach in analyzing of these structures can be one of the solution for investigation of morphology. It is known that a wide range of disordered systems can be characterized by the fractal nature over a microscopic correlation length, and on a small scale the energy transformations are permitted. Due to the lack of energy, priorities of the future frontiers in ceramics science is to expand the knowledge even down to nano and towards new and alternative energy sources. Fractal configuration nature of BaTiO3 and other ceramics is based on phenomena that ceramic grains have fractal shape; there are pores and inter-granular space and there is particles Brownian fractal motion inside the material, during and after sintering, in the form of micro-particles flow, which is the most important. These important facts are in function of further developing of knowledge of energy harvesting and storage.
PB  - Belgrade : Serbian Ceramic Society
C3  - Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 17-19 September 2018
T1  - Fractal nature Heywang model contribution and BaTiO3-ceramics semiconducting phenomena
SP  - 92
EP  - 93
UR  - https://hdl.handle.net/21.15107/rcub_dais_4088
ER  - 

@conference{
author = "Mitić, Vojislav V. and Lazović, Goran and Vosika, Zoran B. and Paunović, Vesna and Veljković, Sandra and Danković, Danijel and Vlahović, Branislav",
year = "2018",
abstract = "Well known material with ferroelectric properties, BaTiO3-ceramics, have many advanced applications. Fractal approach in analyzing of these structures can be one of the solution for investigation of morphology. It is known that a wide range of disordered systems can be characterized by the fractal nature over a microscopic correlation length, and on a small scale the energy transformations are permitted. Due to the lack of energy, priorities of the future frontiers in ceramics science is to expand the knowledge even down to nano and towards new and alternative energy sources. Fractal configuration nature of BaTiO3 and other ceramics is based on phenomena that ceramic grains have fractal shape; there are pores and inter-granular space and there is particles Brownian fractal motion inside the material, during and after sintering, in the form of micro-particles flow, which is the most important. These important facts are in function of further developing of knowledge of energy harvesting and storage.",
publisher = "Belgrade : Serbian Ceramic Society",
journal = "Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 17-19 September 2018",
title = "Fractal nature Heywang model contribution and BaTiO3-ceramics semiconducting phenomena",
pages = "92-93",
url = "https://hdl.handle.net/21.15107/rcub_dais_4088"
}

Mitić, V. V., Lazović, G., Vosika, Z. B., Paunović, V., Veljković, S., Danković, D.,& Vlahović, B.. (2018). Fractal nature Heywang model contribution and BaTiO3-ceramics semiconducting phenomena. in Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 17-19 September 2018
Belgrade : Serbian Ceramic Society., 92-93.
https://hdl.handle.net/21.15107/rcub_dais_4088

Mitić VV, Lazović G, Vosika ZB, Paunović V, Veljković S, Danković D, Vlahović B. Fractal nature Heywang model contribution and BaTiO3-ceramics semiconducting phenomena. in Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 17-19 September 2018. 2018;:92-93.
https://hdl.handle.net/21.15107/rcub_dais_4088 .

Mitić, Vojislav V., Lazović, Goran, Vosika, Zoran B., Paunović, Vesna, Veljković, Sandra, Danković, Danijel, Vlahović, Branislav, "Fractal nature Heywang model contribution and BaTiO3-ceramics semiconducting phenomena" in Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 17-19 September 2018 (2018):92-93,
https://hdl.handle.net/21.15107/rcub_dais_4088 .

TY  - JOUR
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Paunović, Vesna
AU  - Kocić, Ljubiša
PY  - 2018
UR  - https://doi.org/10.1080/00150193.2018.1456116
UR  - https://dais.sanu.ac.rs/123456789/4538
AB  - This paper is focused on the research an improved version of the Boltzmann-Poisson model for BaTiO3-ceramics. In the approximation of one relaxation time, for constant external electrical field, this approach included correct quadratic relation for varistor effect in the case of the Heywang model. Within meso-kinetics, quantum corrected Boltzmann-Poisson model, contains space-time correlations for the probability distribution density function f(r, k, t), lead to correct fractional relaxation velocity description. These new results corresponds to our other research based on electronic particles Brownian motion within its fractal nature.
PB  - Taylor & Francis
T2  - Ferroelectrics
T1  - Meso-kinetics of one time relaxation electrical processes in BaTiO3 ceramics—modified Boltzmann-Poisson model
SP  - 38
EP  - 50
VL  - 531
IS  - 1
DO  - 10.1080/00150193.2018.1456116
UR  - https://hdl.handle.net/21.15107/rcub_dais_4538
ER  - 

@article{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Lazović, Goran and Paunović, Vesna and Kocić, Ljubiša",
year = "2018",
abstract = "This paper is focused on the research an improved version of the Boltzmann-Poisson model for BaTiO3-ceramics. In the approximation of one relaxation time, for constant external electrical field, this approach included correct quadratic relation for varistor effect in the case of the Heywang model. Within meso-kinetics, quantum corrected Boltzmann-Poisson model, contains space-time correlations for the probability distribution density function f(r, k, t), lead to correct fractional relaxation velocity description. These new results corresponds to our other research based on electronic particles Brownian motion within its fractal nature.",
publisher = "Taylor & Francis",
journal = "Ferroelectrics",
title = "Meso-kinetics of one time relaxation electrical processes in BaTiO3 ceramics—modified Boltzmann-Poisson model",
pages = "38-50",
volume = "531",
number = "1",
doi = "10.1080/00150193.2018.1456116",
url = "https://hdl.handle.net/21.15107/rcub_dais_4538"
}

Vosika, Z. B., Mitić, V. V., Lazović, G., Paunović, V.,& Kocić, L.. (2018). Meso-kinetics of one time relaxation electrical processes in BaTiO3 ceramics—modified Boltzmann-Poisson model. in Ferroelectrics
Taylor & Francis., 531(1), 38-50.
https://doi.org/10.1080/00150193.2018.1456116
https://hdl.handle.net/21.15107/rcub_dais_4538

Vosika ZB, Mitić VV, Lazović G, Paunović V, Kocić L. Meso-kinetics of one time relaxation electrical processes in BaTiO3 ceramics—modified Boltzmann-Poisson model. in Ferroelectrics. 2018;531(1):38-50.
doi:10.1080/00150193.2018.1456116
https://hdl.handle.net/21.15107/rcub_dais_4538 .

Vosika, Zoran B., Mitić, Vojislav V., Lazović, Goran, Paunović, Vesna, Kocić, Ljubiša, "Meso-kinetics of one time relaxation electrical processes in BaTiO3 ceramics—modified Boltzmann-Poisson model" in Ferroelectrics, 531, no. 1 (2018):38-50,
https://doi.org/10.1080/00150193.2018.1456116 .,
https://hdl.handle.net/21.15107/rcub_dais_4538 .

TY  - JOUR
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Kocić, Ljubiša
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/2362
AB  - In this paper, we develop the new physical-mathematical time scale approach-model applied to BaTiO3-ceramics. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. The time scale mathematical examples include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may be utilized for a description of physical, material (crystal growth kinetics, physical chemistry kinetics - for example, kinetics of barium-titanate synthesis), bio-chemical or similar systems and represents a major challenge for nowadays contemporary scientists. Generally speaking, such processes may be described by a discrete time scale. Reasonably it could be assumed that such a “scenario” is possible for discrete temperature values as a consolidation parameter which is the basic ceramics description properties. In this work, BaTiO3-ceramics discrete temperature as thermodynamics parameter with temperature step h and the basic temperature point a is investigated. Instead of derivations, it is used backward differences with respect to temperature. The main conclusion is made towards ceramics materials temperature as description parameter.
PB  - Belgrade : International Institute for the Science of Sintering
T2  - Science of Sintering
T1  - Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter
SP  - 469
EP  - 477
VL  - 49
IS  - 4
DO  - 10.2298/SOS1704469V
UR  - https://hdl.handle.net/21.15107/rcub_dais_2362
ER  - 

@article{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Lazović, Goran and Kocić, Ljubiša",
year = "2017",
abstract = "In this paper, we develop the new physical-mathematical time scale approach-model applied to BaTiO3-ceramics. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. The time scale mathematical examples include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may be utilized for a description of physical, material (crystal growth kinetics, physical chemistry kinetics - for example, kinetics of barium-titanate synthesis), bio-chemical or similar systems and represents a major challenge for nowadays contemporary scientists. Generally speaking, such processes may be described by a discrete time scale. Reasonably it could be assumed that such a “scenario” is possible for discrete temperature values as a consolidation parameter which is the basic ceramics description properties. In this work, BaTiO3-ceramics discrete temperature as thermodynamics parameter with temperature step h and the basic temperature point a is investigated. Instead of derivations, it is used backward differences with respect to temperature. The main conclusion is made towards ceramics materials temperature as description parameter.",
publisher = "Belgrade : International Institute for the Science of Sintering",
journal = "Science of Sintering",
title = "Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter",
pages = "469-477",
volume = "49",
number = "4",
doi = "10.2298/SOS1704469V",
url = "https://hdl.handle.net/21.15107/rcub_dais_2362"
}

Vosika, Z. B., Mitić, V. V., Lazović, G.,& Kocić, L.. (2017). Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter. in Science of Sintering
Belgrade : International Institute for the Science of Sintering., 49(4), 469-477.
https://doi.org/10.2298/SOS1704469V
https://hdl.handle.net/21.15107/rcub_dais_2362

Vosika ZB, Mitić VV, Lazović G, Kocić L. Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter. in Science of Sintering. 2017;49(4):469-477.
doi:10.2298/SOS1704469V
https://hdl.handle.net/21.15107/rcub_dais_2362 .

Vosika, Zoran B., Mitić, Vojislav V., Lazović, Goran, Kocić, Ljubiša, "Discrete temperature values in the sintering process as a BaTiO3-ceramics properties parameter" in Science of Sintering, 49, no. 4 (2017):469-477,
https://doi.org/10.2298/SOS1704469V .,
https://hdl.handle.net/21.15107/rcub_dais_2362 .

TY  - CONF
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Lazović, Goran
AU  - Paunović, Vesna
AU  - Kocić, Ljubiša
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/4823
AB  - In this study, generalized Lorentz model is considered in the framework of dielectric, conductive and/or magnetic responses of materials. Beside positive temperature coefficient of resistivity (PTCR) materials (current stabilizers, time delay circuits and current limiters for overvoltage or overcurrent protection, temperature sensors, self-heating, …), magnetic properties indicate to multifunctional or specific applications (for example, nanocubic technologies). AC conductivity studies of various BaTiO3 ceramics or similar ceramics produced equivalent circuits with impedance spectra, usually within the framework of RCPE elements serial connection (CPE - constant phase element) or Cole element. One of the first models that explains PTC effect is the Heywang model, in terms of grain boundaries potential barriers of the Shottky type. Dielectric frequency spectra can be described in similar relationships. However, magnetic features of BaTiO3 ceramics are not well described. In this presentation all three behaviors (dielectric, conductive and magnetic) of materials and their relationships are considered in the case of electric or magnetic alternate fields, which are the basis for experimental measurements.
PB  - Belgrade : Serbian Ceramic Society
C3  - Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VI: New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, September 18-20, 2017
T1  - Generalized Lorentz model description of electrical, dielectric, conductive and magnetic processes two-time relaxations in BaTiO3 ceramics with constitutive relations
SP  - 85
EP  - 85
UR  - https://hdl.handle.net/21.15107/rcub_dais_4823
ER  - 

@conference{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Lazović, Goran and Paunović, Vesna and Kocić, Ljubiša",
year = "2017",
abstract = "In this study, generalized Lorentz model is considered in the framework of dielectric, conductive and/or magnetic responses of materials. Beside positive temperature coefficient of resistivity (PTCR) materials (current stabilizers, time delay circuits and current limiters for overvoltage or overcurrent protection, temperature sensors, self-heating, …), magnetic properties indicate to multifunctional or specific applications (for example, nanocubic technologies). AC conductivity studies of various BaTiO3 ceramics or similar ceramics produced equivalent circuits with impedance spectra, usually within the framework of RCPE elements serial connection (CPE - constant phase element) or Cole element. One of the first models that explains PTC effect is the Heywang model, in terms of grain boundaries potential barriers of the Shottky type. Dielectric frequency spectra can be described in similar relationships. However, magnetic features of BaTiO3 ceramics are not well described. In this presentation all three behaviors (dielectric, conductive and magnetic) of materials and their relationships are considered in the case of electric or magnetic alternate fields, which are the basis for experimental measurements.",
publisher = "Belgrade : Serbian Ceramic Society",
journal = "Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VI: New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, September 18-20, 2017",
title = "Generalized Lorentz model description of electrical, dielectric, conductive and magnetic processes two-time relaxations in BaTiO3 ceramics with constitutive relations",
pages = "85-85",
url = "https://hdl.handle.net/21.15107/rcub_dais_4823"
}

Vosika, Z. B., Mitić, V. V., Lazović, G., Paunović, V.,& Kocić, L.. (2017). Generalized Lorentz model description of electrical, dielectric, conductive and magnetic processes two-time relaxations in BaTiO3 ceramics with constitutive relations. in Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VI: New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, September 18-20, 2017
Belgrade : Serbian Ceramic Society., 85-85.
https://hdl.handle.net/21.15107/rcub_dais_4823

Vosika ZB, Mitić VV, Lazović G, Paunović V, Kocić L. Generalized Lorentz model description of electrical, dielectric, conductive and magnetic processes two-time relaxations in BaTiO3 ceramics with constitutive relations. in Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VI: New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, September 18-20, 2017. 2017;:85-85.
https://hdl.handle.net/21.15107/rcub_dais_4823 .

Vosika, Zoran B., Mitić, Vojislav V., Lazović, Goran, Paunović, Vesna, Kocić, Ljubiša, "Generalized Lorentz model description of electrical, dielectric, conductive and magnetic processes two-time relaxations in BaTiO3 ceramics with constitutive relations" in Program and the Book of Abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VI: New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, September 18-20, 2017 (2017):85-85,
https://hdl.handle.net/21.15107/rcub_dais_4823 .

TY  - JOUR
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Vasić, Aleksandar
AU  - Lazović, Goran
AU  - Matija, Lidija
AU  - Kocić, Ljubiša
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/4613
AB  - In this paper, Caputo based Michaelis–Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis–Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.
PB  - Elsevier
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
SP  - 373
EP  - 389
VL  - 44
DO  - 10.1016/j.cnsns.2016.08.024
UR  - https://hdl.handle.net/21.15107/rcub_dais_4613
ER  - 

@article{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Vasić, Aleksandar and Lazović, Goran and Matija, Lidija and Kocić, Ljubiša",
year = "2017",
abstract = "In this paper, Caputo based Michaelis–Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis–Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.",
publisher = "Elsevier",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics",
pages = "373-389",
volume = "44",
doi = "10.1016/j.cnsns.2016.08.024",
url = "https://hdl.handle.net/21.15107/rcub_dais_4613"
}

Vosika, Z. B., Mitić, V. V., Vasić, A., Lazović, G., Matija, L.,& Kocić, L.. (2017). Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. in Communications in Nonlinear Science and Numerical Simulation
Elsevier., 44, 373-389.
https://doi.org/10.1016/j.cnsns.2016.08.024
https://hdl.handle.net/21.15107/rcub_dais_4613

Vosika ZB, Mitić VV, Vasić A, Lazović G, Matija L, Kocić L. Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. in Communications in Nonlinear Science and Numerical Simulation. 2017;44:373-389.
doi:10.1016/j.cnsns.2016.08.024
https://hdl.handle.net/21.15107/rcub_dais_4613 .

Vosika, Zoran B., Mitić, Vojislav V., Vasić, Aleksandar, Lazović, Goran, Matija, Lidija, Kocić, Ljubiša, "Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics" in Communications in Nonlinear Science and Numerical Simulation, 44 (2017):373-389,
https://doi.org/10.1016/j.cnsns.2016.08.024 .,
https://hdl.handle.net/21.15107/rcub_dais_4613 .

TY  - CONF
AU  - Vosika, Zoran B.
AU  - Lazović, Goran
AU  - Mitić, Vojislav V.
AU  - Kocić, Ljubiša
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/2359
AB  - In this paper we develop the new physical-mathematical time scale kinetic approach-model applied on organic and non-organic particles motion. Concretely, here, at first, this new research approach is based on enzyme particles dynamics results. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. Mathematical examples of time scales include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may utilized for description of physical (classical mechanics), material (crystal growth kinetics, physical chemistry kinetics—for example, kinetics of barium-titanate synthesis), (bio)chemical or similar systems and represents major challenge for contemporary scientists. In this sense, the Michaelis-Menten (MM) mechanism is the one of the best known and simplest nonlinear biochemical network which deserves appropriate attention. Generally speaking, such processes may be described of discrete time scale. Reasonably it could be assumed that such a scenario is possible for MM mechanism. In this work, discrete time MM kinetics (dtMM) with time various step h, is investigated. Instead of the first derivative by time used first backward difference h. Physical basics for new time scale approach is a new statistical thermodynamics, natural generalization of Tsallis non-extensive or similar thermodynamics. A reliable new algorithm of novel difference transformation method, namely multi-step difference transformation method (MSDETM) for solving system of nonlinear ordinary difference equations is proposed. If h tends to zero, MSDETM transformed into multi-step differential transformation method (MSDTM). In the spirit of TSC, MSDETM describes analogously MSDTM.
PB  - Paris : Atlantis Press
C3  - Proceedings of the IV Advanced Ceramics and Applications Conference
T1  - Multistep Transformation Method for Discrete and Continuous Time Enzyme Kinetics
DO  - 10.2991/978-94-6239-213-7_22
UR  - https://hdl.handle.net/21.15107/rcub_dais_2359
ER  - 

@conference{
editor = "Lee, Bill, Gadow, Rainer, Mitić, Vojislav V.",
author = "Vosika, Zoran B. and Lazović, Goran and Mitić, Vojislav V. and Kocić, Ljubiša",
year = "2017",
abstract = "In this paper we develop the new physical-mathematical time scale kinetic approach-model applied on organic and non-organic particles motion. Concretely, here, at first, this new research approach is based on enzyme particles dynamics results. At the beginning, a time scale is defined to be an arbitrary closed subset of the real numbers R, with the standard inherited topology. Mathematical examples of time scales include real numbers R, natural numbers N, integers Z, the Cantor set (i.e. fractals), and any finite union of closed intervals of R. Calculus on time scales (TSC) was established in 1988 by Stefan Hilger. TSC, by construction, is used to describe the complex process. This method may utilized for description of physical (classical mechanics), material (crystal growth kinetics, physical chemistry kinetics—for example, kinetics of barium-titanate synthesis), (bio)chemical or similar systems and represents major challenge for contemporary scientists. In this sense, the Michaelis-Menten (MM) mechanism is the one of the best known and simplest nonlinear biochemical network which deserves appropriate attention. Generally speaking, such processes may be described of discrete time scale. Reasonably it could be assumed that such a scenario is possible for MM mechanism. In this work, discrete time MM kinetics (dtMM) with time various step h, is investigated. Instead of the first derivative by time used first backward difference h. Physical basics for new time scale approach is a new statistical thermodynamics, natural generalization of Tsallis non-extensive or similar thermodynamics. A reliable new algorithm of novel difference transformation method, namely multi-step difference transformation method (MSDETM) for solving system of nonlinear ordinary difference equations is proposed. If h tends to zero, MSDETM transformed into multi-step differential transformation method (MSDTM). In the spirit of TSC, MSDETM describes analogously MSDTM.",
publisher = "Paris : Atlantis Press",
journal = "Proceedings of the IV Advanced Ceramics and Applications Conference",
title = "Multistep Transformation Method for Discrete and Continuous Time Enzyme Kinetics",
doi = "10.2991/978-94-6239-213-7_22",
url = "https://hdl.handle.net/21.15107/rcub_dais_2359"
}

Lee, B., Gadow, R., Mitić, V. V., Vosika, Z. B., Lazović, G., Mitić, V. V.,& Kocić, L.. (2017). Multistep Transformation Method for Discrete and Continuous Time Enzyme Kinetics. in Proceedings of the IV Advanced Ceramics and Applications Conference
Paris : Atlantis Press..
https://doi.org/10.2991/978-94-6239-213-7_22
https://hdl.handle.net/21.15107/rcub_dais_2359

Lee B, Gadow R, Mitić VV, Vosika ZB, Lazović G, Mitić VV, Kocić L. Multistep Transformation Method for Discrete and Continuous Time Enzyme Kinetics. in Proceedings of the IV Advanced Ceramics and Applications Conference. 2017;.
doi:10.2991/978-94-6239-213-7_22
https://hdl.handle.net/21.15107/rcub_dais_2359 .

Lee, Bill, Gadow, Rainer, Mitić, Vojislav V., Vosika, Zoran B., Lazović, Goran, Mitić, Vojislav V., Kocić, Ljubiša, "Multistep Transformation Method for Discrete and Continuous Time Enzyme Kinetics" in Proceedings of the IV Advanced Ceramics and Applications Conference (2017),
https://doi.org/10.2991/978-94-6239-213-7_22 .,
https://hdl.handle.net/21.15107/rcub_dais_2359 .

TY  - JOUR
AU  - Vosika, Zoran B.
AU  - Mitić, Vojislav V.
AU  - Vasić, Aleksandar
AU  - Lazović, Goran
AU  - Matija, Lidija
AU  - Kocić, Ljubiša
PY  - 2017
UR  - https://dais.sanu.ac.rs/123456789/2358
AB  - In this paper, Caputo based Michaelis–Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis–Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.
PB  - Elsevier
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics
SP  - 373
EP  - 389
VL  - 44
DO  - 10.1016/j.cnsns.2016.08.024
UR  - https://hdl.handle.net/21.15107/rcub_dais_2358
ER  - 

@article{
author = "Vosika, Zoran B. and Mitić, Vojislav V. and Vasić, Aleksandar and Lazović, Goran and Matija, Lidija and Kocić, Ljubiša",
year = "2017",
abstract = "In this paper, Caputo based Michaelis–Menten kinetic model based on Time Scale Calculus (TSC) is proposed. The main reason for its consideration is a study of tumor cells population growth dynamics. In the particular case discrete-continuous time kinetics, Michaelis–Menten model is numerically treated, using a new algorithm proposed by authors, called multistep generalized difference transformation method (MSGDETM). In addition numerical simulations are performed and is shown that it represents the upgrade of the multi-step variant of generalized differential transformation method (MSGDTM). A possible conditions for its further development are discussed and possible experimental verification is described.",
publisher = "Elsevier",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics",
pages = "373-389",
volume = "44",
doi = "10.1016/j.cnsns.2016.08.024",
url = "https://hdl.handle.net/21.15107/rcub_dais_2358"
}

Vosika, Z. B., Mitić, V. V., Vasić, A., Lazović, G., Matija, L.,& Kocić, L.. (2017). Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. in Communications in Nonlinear Science and Numerical Simulation
Elsevier., 44, 373-389.
https://doi.org/10.1016/j.cnsns.2016.08.024
https://hdl.handle.net/21.15107/rcub_dais_2358

Vosika ZB, Mitić VV, Vasić A, Lazović G, Matija L, Kocić L. Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics. in Communications in Nonlinear Science and Numerical Simulation. 2017;44:373-389.
doi:10.1016/j.cnsns.2016.08.024
https://hdl.handle.net/21.15107/rcub_dais_2358 .

Vosika, Zoran B., Mitić, Vojislav V., Vasić, Aleksandar, Lazović, Goran, Matija, Lidija, Kocić, Ljubiša, "Multistep generalized transformation method applied to solving equations of discrete and continuous time-fractional enzyme kinetics" in Communications in Nonlinear Science and Numerical Simulation, 44 (2017):373-389,
https://doi.org/10.1016/j.cnsns.2016.08.024 .,
https://hdl.handle.net/21.15107/rcub_dais_2358 .