Kochubei Anatoly Naumovich
Publications
Books:
A. N. Kochubei, Pseudo-Differential Equations and Stochastics over Non-Archimedean Fields, Marcel Dekker, New York, 2001.
S. D. Eidelman, S. D. Ivasyshen, and A. N. Kochubei, Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type, Birkhäuser, Basel, 2004.
A. N. Kochubei, Analysis in Positive Characteristic, Cambridge University Press, 2009.
Collective monograph (2 volumes):
“Handbook of Fractional Calculus with Applications (A.N. Kochubei and Yu. Luchko, Editors)”. Volume 1, “Basic Theory”– Berlin: De Gruyter, 2019, viii+481 pp. Volume 2, “Fractional Differential Equations” – Berlin: De Gruyter, 2019, viii+519 pp.
https://www.degruyter.com/view/title/534592?language=en
https://www.degruyter.com/view/title/534595
More than 115 research and survey papers in mathematics and physics. Almost all the papers published in 1997 and later are available from the ArXiv:
http://arxiv.org/find/grp_math/1/au:+kochubei/0/1/0/all/0/1
Publications for 2016-2020:
1. A. N. Kochubei, Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field. J. Math. Anal. Appl. 483 (2020), no. 1, 123609, 11 pp. Q1 (Scopus)
https://doi.org/10.1016/j.jmaa.2019.123609
2. A. N. Kochubei and Yu. G. Kondratiev, Growth Equation of the General Fractional Calculus, Mathematics 2019, 7, article 615; doi:10.3390/math7070615. Q1 (WoS)
https://doi.org/10.3390/math7070615
3. A. N. Kochubei and A. Khrennikov, p-Adic analogue of the porous medium equations, J. Fourier Anal. Appl. 24, No. 5 (2018), 1401-1424. Q1 (Scopus) https://doi.org/10.1007/s00041-017-9556-4
4. A. N. Kochubei and Yu. Kondratiev, Fractional kinetic hierarchies and intermittency, Kinetic and Related Models 10 (2017), 725 – 740. Q1 (Scopus) doi: 10.3934/krm.2017029
5. A. N. Kochubei, Non-Archimedean duality: algebras, groups, and multipliers, Algebras and Representation Theory, Vol. 19, No. 5 (2016), 1081-1108. Q1 (Scopus)
https://doi.org/10.1007/s10468-016-9612-9
6. A. Khrennikov and A. N. Kochubei, On the p-adic Navier-Stokes equation. Applicable. Anal. 99 (2020), no. 8, 1425–1435. Q2 (Scopus) https://doi.org/10.1080/00036811.2018.1533120
7.A. N. Kochubei, Yu. Kondratiev and J. L. da Silva, Random time change and related evolution equations. Time asymptotic behavior. Stochastics and Dynamics 20 (2020), no. 5, 2050034, 24 pp. Q2 (Scopus) https://doi.org/10.1142/S0219493720500343
8. A. V. Antoniouk, K. Oleschko, A. N. Kochubei and A. Yu. Khrennikov, A stochastic p-adic model of the capillary flow in porous random medium, Physica A, 505 (2018), 763-777. Q2 (Scopus)
https://doi.org/10.1016/j.physa.2018.03.049
9. A. N. Kochubei and Yu. G. Kondratiev, Fractional approximation of solutions of evolution equations, Analysis, Vol. 36, No. 2 (2016), 71-73. Q2 (Scopus)
https://doi.org/10.1515/anly-2015-5007
10. A. N. Kochubei and Yu. Kondratiev, Representations of the infinite-dimensional p-adic affine group. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23 (2020), no. 1, 2050002, 11 pp. Q3 (Scopus) https://doi.org/10.1142/S0219025720500022
11. A. V. Antoniouk, A. Khrennikov and A. N. Kochubei, Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables. J. Pseudo-Differ. Oper. Appl. 11 (2020), no. 1, 311–343. Q3 (Scopus) https://doi.org/10.1007/s11868-019-00320-3
12. A. N. Kochubei, Linear and nonlinear heat equations on a p-adic ball, Ukrainian Math. J., 70, No. 2 (2018), 217-231. Q3 (Scopus) http://umj.imath.kiev.ua/index.php/umj/article/view/1550
13. J. L. Da Silva, A. N. Kochubei and Yu. G. Kondratiev, Fractional statistical dynamics and fractional kinetics, Meth. Funct. Anal. Topology, Vol. 22, No. 3 (2016), 197-209.
http://mfat.imath.kiev.ua/article/?id=890
14. A. N. Kochubei, D. S. Soskin, Asymptotic properties of the p-adic fractional integration operator. Methods Funct. Anal. Topology 23 (2017), no. 2, 155–163. http://mfat.imath.kiev.ua/article/?id=969
A. N. Kochubei, Pseudo-Differential Equations and Stochastics over Non-Archimedean Fields, Marcel Dekker, New York, 2001.
S. D. Eidelman, S. D. Ivasyshen, and A. N. Kochubei, Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type, Birkhäuser, Basel, 2004.
A. N. Kochubei, Analysis in Positive Characteristic, Cambridge University Press, 2009.
Collective monograph (2 volumes):
“Handbook of Fractional Calculus with Applications (A.N. Kochubei and Yu. Luchko, Editors)”. Volume 1, “Basic Theory”– Berlin: De Gruyter, 2019, viii+481 pp. Volume 2, “Fractional Differential Equations” – Berlin: De Gruyter, 2019, viii+519 pp.
https://www.degruyter.com/view/title/534592?language=en
https://www.degruyter.com/view/title/534595
More than 115 research and survey papers in mathematics and physics. Almost all the papers published in 1997 and later are available from the ArXiv:
http://arxiv.org/find/grp_math/1/au:+kochubei/0/1/0/all/0/1
Publications for 2016-2020:
1. A. N. Kochubei, Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field. J. Math. Anal. Appl. 483 (2020), no. 1, 123609, 11 pp. Q1 (Scopus)
https://doi.org/10.1016/j.jmaa.2019.123609
2. A. N. Kochubei and Yu. G. Kondratiev, Growth Equation of the General Fractional Calculus, Mathematics 2019, 7, article 615; doi:10.3390/math7070615. Q1 (WoS)
https://doi.org/10.3390/math7070615
3. A. N. Kochubei and A. Khrennikov, p-Adic analogue of the porous medium equations, J. Fourier Anal. Appl. 24, No. 5 (2018), 1401-1424. Q1 (Scopus) https://doi.org/10.1007/s00041-017-9556-4
4. A. N. Kochubei and Yu. Kondratiev, Fractional kinetic hierarchies and intermittency, Kinetic and Related Models 10 (2017), 725 – 740. Q1 (Scopus) doi: 10.3934/krm.2017029
5. A. N. Kochubei, Non-Archimedean duality: algebras, groups, and multipliers, Algebras and Representation Theory, Vol. 19, No. 5 (2016), 1081-1108. Q1 (Scopus)
https://doi.org/10.1007/s10468-016-9612-9
6. A. Khrennikov and A. N. Kochubei, On the p-adic Navier-Stokes equation. Applicable. Anal. 99 (2020), no. 8, 1425–1435. Q2 (Scopus) https://doi.org/10.1080/00036811.2018.1533120
7.A. N. Kochubei, Yu. Kondratiev and J. L. da Silva, Random time change and related evolution equations. Time asymptotic behavior. Stochastics and Dynamics 20 (2020), no. 5, 2050034, 24 pp. Q2 (Scopus) https://doi.org/10.1142/S0219493720500343
8. A. V. Antoniouk, K. Oleschko, A. N. Kochubei and A. Yu. Khrennikov, A stochastic p-adic model of the capillary flow in porous random medium, Physica A, 505 (2018), 763-777. Q2 (Scopus)
https://doi.org/10.1016/j.physa.2018.03.049
9. A. N. Kochubei and Yu. G. Kondratiev, Fractional approximation of solutions of evolution equations, Analysis, Vol. 36, No. 2 (2016), 71-73. Q2 (Scopus)
https://doi.org/10.1515/anly-2015-5007
10. A. N. Kochubei and Yu. Kondratiev, Representations of the infinite-dimensional p-adic affine group. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23 (2020), no. 1, 2050002, 11 pp. Q3 (Scopus) https://doi.org/10.1142/S0219025720500022
11. A. V. Antoniouk, A. Khrennikov and A. N. Kochubei, Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables. J. Pseudo-Differ. Oper. Appl. 11 (2020), no. 1, 311–343. Q3 (Scopus) https://doi.org/10.1007/s11868-019-00320-3
12. A. N. Kochubei, Linear and nonlinear heat equations on a p-adic ball, Ukrainian Math. J., 70, No. 2 (2018), 217-231. Q3 (Scopus) http://umj.imath.kiev.ua/index.php/umj/article/view/1550
13. J. L. Da Silva, A. N. Kochubei and Yu. G. Kondratiev, Fractional statistical dynamics and fractional kinetics, Meth. Funct. Anal. Topology, Vol. 22, No. 3 (2016), 197-209.
http://mfat.imath.kiev.ua/article/?id=890
14. A. N. Kochubei, D. S. Soskin, Asymptotic properties of the p-adic fractional integration operator. Methods Funct. Anal. Topology 23 (2017), no. 2, 155–163. http://mfat.imath.kiev.ua/article/?id=969