Edit Profile (opens in new tab) Umarov, Sabir R. Co-Author Distance Author ID: umarov.sabir-r Published as: Umarov, Sabir; Umarov, S. R.; Umarov, Sabir R.; Umarov, S. more...less External Links: MGP Documents Indexed: 62 Publications since 1983, including 3 Books and 5 Additional arXiv Preprints Reviewing Activity: 41 Reviews Co-Authors: 31 Co-Authors with 41 Joint Publications 768 Co-Co-Authors all top 5 Co-Authors 21 single-authored 8 Tsallis, Constantino 7 Ashurov, Ravshan Rajabovich 7 Hahn, Marjorie Green 6 Steinberg, Stanly L. 4 Gorenflo, Rudolf 4 Kobayashi, Kei 4 Nelson, Kenric P. 2 Gell-Mann, Murray 2 Jiang, Xinxin 2 Kon, Mark A. 2 Luchko, Yurii F. 2 Saidamatov, È. M. 2 Saydamatov, Erkin M. 2 Turmetov, Batirkhan Khudaybergenovich 1 Alimov, Shavkat Arifdzhanovich 1 Andries, Erik 1 Chen, Yangquan 1 Daum, Fred E. 1 Daum, Frederick E. 1 Duarte Queirós, Silvio M. 1 Dzhamalov, Sirojiddin Zuxriddinovich 1 Kal’menov, Tynysbek Sharipovich 1 Kanguzhin, Baltabek Esmatovich 1 Karachik, Valeriĭ Valentinovich 1 Mukhiddinova, Oqila 1 Nazarova, M. Kh. 1 Ryvkina, Jelena 1 Shinaliyev, Kanat M. 1 Suragan, Durvudkhan 1 Tokmagambetov, Niyaz Esenzholovich 1 Torebek, Berikbol Tillabayuly all top 5 Serials 16 Fractional Calculus & Applied Analysis 5 Doklady Akademii Nauk UzSSR 4 Differential Equations 3 Soviet Mathematics. Doklady 3 Journal of Physics A: Mathematical and Theoretical 2 Physica A 2 Physics Letters. A 2 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk 2 Zeitschrift für Analysis und ihre Anwendungen 2 Russian Academy of Sciences. Doklady. Mathematics 1 Journal of Mathematical Physics 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Journal of Theoretical Probability 1 Electronic Communications in Probability 1 Doklady Mathematics 1 Uzbekskiĭ Matematicheskiĭ Zhurnal 1 Lobachevskii Journal of Mathematics 1 Milan Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Developments in Mathematics 1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal all top 5 Fields 37 Partial differential equations (35-XX) 22 Probability theory and stochastic processes (60-XX) 12 Real functions (26-XX) 9 Operator theory (47-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 Special functions (33-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 528 times in 367 Documents Cited by ▼ Year ▼ On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics. Zbl 1182.60011 Umarov, Sabir; Tsallis, Constantino; Steinberg, Stanly 59 2008 Variable order differential equations with piecewise constant order-function and diffusion with changing modes. Zbl 1181.35359 Umarov, Sabir; Steinberg, Stanly 49 2009 Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I. Zbl 1100.35132 Umarov, Sabir; Gorenflo, Rudolf 39 2005 Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion. Zbl 1218.60030 Hahn, Marjorie G.; Kobayashi, Kei; Umarov, Sabir 35 2011 Beyond the triangle. Brownian motion, Ito calculus, and Fokker-Planck equation: fractional generalizations. Zbl 1403.60001 Umarov, Sabir; Hahn, Marjorie; Kobayashi, Kei 26 2018 SDEs driven by a time-changed Lévy process and their associated time-fractional order pseudo-differential equations. Zbl 1255.60064 Hahn, Marjorie; Kobayashi, Kei; Umarov, Sabir 25 2012 On fractional Duhamel’s principle and its applications. Zbl 1247.34010 Umarov, Sabir 25 2012 Introduction to fractional and pseudo-differential equations with singular symbols. Zbl 1331.35005 Umarov, Sabir 23 2015 Generalization of symmetric \(\alpha\)-stable Lévy distributions for \(q > 1\). Zbl 1309.60014 Umarov, Sabir; Tsallis, Constantino; Gell-Mann, Murray; Steinberg, Stanly 22 2010 Determination of the order of fractional derivative for subdiffusion equations. Zbl 1474.35633 Ashurov, Ravshan; Umarov, Sabir 21 2020 On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order. Zbl 1033.35160 Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R. 20 2000 A fractional analog of the Duhamel principle. Zbl 1122.26008 Umarov, Sabir; Saydamatov, Erkin 19 2006 Random walk models associated with distributed fractional order differential equations. Zbl 1205.60092 Umarov, Sabir; Steinberg, Stanly 18 2006 Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations. Zbl 1273.35293 Hahn, Marjorie; Umarov, Sabir 18 2011 On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations. Zbl 1231.60029 Hahn, Marjorie G.; Ryvkina, Jelena; Kobayashi, Kei; Umarov, Sabir 17 2011 Continuous time random walk models associated with distributed order diffusion equations. Zbl 1319.60096 Umarov, Sabir 14 2015 On multivariate generalizations of the \(q\)-central limit theorem consistent with nonextensive statistical mechanics. Zbl 1151.82302 Umarov, Sabir; Tsallis, Constantino 12 2007 A generalization of Duhamel’s principle for differential equations of fractional order. Zbl 1327.35068 Umarov, S. R.; Saidamatov, E. M. 11 2007 On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. Zbl 1131.60038 Umarov, Sabir; Gorenflo, Rudolf 10 2005 On \(q\)-Gaussians and exchangeability. Zbl 1201.82035 Hahn, Marjorie G.; Jiang, Xinxin; Umarov, Sabir 10 2010 On a representation of the inverse \(F_{q}\)-transform. Zbl 1221.82017 Umarov, Sabir; Tsallis, Constantino 8 2008 On unique solvability of a nonlocal boundary-value problem for a loaded multidimensional Chaplygin’s equation in the Sobolev space. Zbl 1450.35122 Dzhamalov, S. Z.; Umarov, S. R.; Ashurov, R. R. 7 2020 Monte Carlo random walk simulations based on distributed order differential equations with applications to cell biology. Zbl 1132.65114 Andries, Erik; Umarov, Sabir; Steinberg, Stanly 6 2006 On some boundary value problems for pseudo-differential equations with boundary operators of fractional order. Zbl 1033.35162 Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R. 4 2000 Fractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domain. Zbl 1374.60109 Umarov, Sabir 4 2017 An inverse problem of determining orders of systems of fractional pseudo-differential equations. Zbl 1503.35247 Ashurov, Ravshan; Umarov, Sabir 4 2022 On the average uncertainty for systems with nonlinear coupling. Zbl 1400.82016 Nelson, Kenric P.; Umarov, Sabir R.; Kon, Mark A. 4 2017 Functional differential equations for the \(q\)-Fourier transform of \(q\)-Gaussians. Zbl 1194.43005 Umarov, S.; Duarte Queirós, S. M. 3 2010 On a method of solution of systems of fractional pseudo-differential equations. Zbl 1474.35214 Umarov, Sabir; Ashurov, Ravshan; Chen, YangQuan 3 2021 Fractional generalizations of filtering problems and their associated fractional Zakai equations. Zbl 1306.60081 Umarov, Sabir; Daum, Frederick; Nelson, Kenric 2 2014 A fractional operator algorithm method for construction of solutions of fractional order differential equations. Zbl 1273.34014 Shinaliyev, Kanat M.; Turmetov, Batirkhan Kh.; Umarov, Sabir R. 2 2012 Mathematical foundations of nonextensive statistical mechanics. Zbl 1500.82001 Umarov, Sabir; Tsallis, Constantino 2 2022 Nonlocal boundary value problems for pseudodifferential and differential-operator equations. I. Zbl 0912.35152 Umarov, S. R. 1 1997 Nonlocal boundary value problems for pseudodifferential and operator-differential equations. II. Zbl 0959.35164 Umarov, S. R. 1 1998 On well-posedness of boundary value problems for pseudodifferential equations with analytic symbols. Zbl 0790.35118 Umarov, S. R. 1 1992 The limit distribution in the \(q\)-CLT for \(q\,\geqslant \,1\) is unique and can not have a compact support. Zbl 1355.60033 Umarov, Sabir; Tsallis, Constantino 1 2016 On generalized Leibniz triangles and \(q\)-gaussians. Zbl 1266.60070 Jiang, Xinxin; Hahn, Marjorie; Umarov, Sabir 1 2012 Use of the geometric mean as a statistic for the scale of the coupled Gaussian distributions. Zbl 1514.60023 Nelson, Kenric P.; Kon, Mark A.; Umarov, Sabir R. 1 2019 An inverse problem of determining orders of systems of fractional pseudo-differential equations. Zbl 1503.35247 Ashurov, Ravshan; Umarov, Sabir 4 2022 Mathematical foundations of nonextensive statistical mechanics. Zbl 1500.82001 Umarov, Sabir; Tsallis, Constantino 2 2022 On a method of solution of systems of fractional pseudo-differential equations. Zbl 1474.35214 Umarov, Sabir; Ashurov, Ravshan; Chen, YangQuan 3 2021 Determination of the order of fractional derivative for subdiffusion equations. Zbl 1474.35633 Ashurov, Ravshan; Umarov, Sabir 21 2020 On unique solvability of a nonlocal boundary-value problem for a loaded multidimensional Chaplygin’s equation in the Sobolev space. Zbl 1450.35122 Dzhamalov, S. Z.; Umarov, S. R.; Ashurov, R. R. 7 2020 Use of the geometric mean as a statistic for the scale of the coupled Gaussian distributions. Zbl 1514.60023 Nelson, Kenric P.; Kon, Mark A.; Umarov, Sabir R. 1 2019 Beyond the triangle. Brownian motion, Ito calculus, and Fokker-Planck equation: fractional generalizations. Zbl 1403.60001 Umarov, Sabir; Hahn, Marjorie; Kobayashi, Kei 26 2018 Fractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domain. Zbl 1374.60109 Umarov, Sabir 4 2017 On the average uncertainty for systems with nonlinear coupling. Zbl 1400.82016 Nelson, Kenric P.; Umarov, Sabir R.; Kon, Mark A. 4 2017 The limit distribution in the \(q\)-CLT for \(q\,\geqslant \,1\) is unique and can not have a compact support. Zbl 1355.60033 Umarov, Sabir; Tsallis, Constantino 1 2016 Introduction to fractional and pseudo-differential equations with singular symbols. Zbl 1331.35005 Umarov, Sabir 23 2015 Continuous time random walk models associated with distributed order diffusion equations. Zbl 1319.60096 Umarov, Sabir 14 2015 Fractional generalizations of filtering problems and their associated fractional Zakai equations. Zbl 1306.60081 Umarov, Sabir; Daum, Frederick; Nelson, Kenric 2 2014 SDEs driven by a time-changed Lévy process and their associated time-fractional order pseudo-differential equations. Zbl 1255.60064 Hahn, Marjorie; Kobayashi, Kei; Umarov, Sabir 25 2012 On fractional Duhamel’s principle and its applications. Zbl 1247.34010 Umarov, Sabir 25 2012 A fractional operator algorithm method for construction of solutions of fractional order differential equations. Zbl 1273.34014 Shinaliyev, Kanat M.; Turmetov, Batirkhan Kh.; Umarov, Sabir R. 2 2012 On generalized Leibniz triangles and \(q\)-gaussians. Zbl 1266.60070 Jiang, Xinxin; Hahn, Marjorie; Umarov, Sabir 1 2012 Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion. Zbl 1218.60030 Hahn, Marjorie G.; Kobayashi, Kei; Umarov, Sabir 35 2011 Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations. Zbl 1273.35293 Hahn, Marjorie; Umarov, Sabir 18 2011 On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations. Zbl 1231.60029 Hahn, Marjorie G.; Ryvkina, Jelena; Kobayashi, Kei; Umarov, Sabir 17 2011 Generalization of symmetric \(\alpha\)-stable Lévy distributions for \(q > 1\). Zbl 1309.60014 Umarov, Sabir; Tsallis, Constantino; Gell-Mann, Murray; Steinberg, Stanly 22 2010 On \(q\)-Gaussians and exchangeability. Zbl 1201.82035 Hahn, Marjorie G.; Jiang, Xinxin; Umarov, Sabir 10 2010 Functional differential equations for the \(q\)-Fourier transform of \(q\)-Gaussians. Zbl 1194.43005 Umarov, S.; Duarte Queirós, S. M. 3 2010 Variable order differential equations with piecewise constant order-function and diffusion with changing modes. Zbl 1181.35359 Umarov, Sabir; Steinberg, Stanly 49 2009 On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics. Zbl 1182.60011 Umarov, Sabir; Tsallis, Constantino; Steinberg, Stanly 59 2008 On a representation of the inverse \(F_{q}\)-transform. Zbl 1221.82017 Umarov, Sabir; Tsallis, Constantino 8 2008 On multivariate generalizations of the \(q\)-central limit theorem consistent with nonextensive statistical mechanics. Zbl 1151.82302 Umarov, Sabir; Tsallis, Constantino 12 2007 A generalization of Duhamel’s principle for differential equations of fractional order. Zbl 1327.35068 Umarov, S. R.; Saidamatov, E. M. 11 2007 A fractional analog of the Duhamel principle. Zbl 1122.26008 Umarov, Sabir; Saydamatov, Erkin 19 2006 Random walk models associated with distributed fractional order differential equations. Zbl 1205.60092 Umarov, Sabir; Steinberg, Stanly 18 2006 Monte Carlo random walk simulations based on distributed order differential equations with applications to cell biology. Zbl 1132.65114 Andries, Erik; Umarov, Sabir; Steinberg, Stanly 6 2006 Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I. Zbl 1100.35132 Umarov, Sabir; Gorenflo, Rudolf 39 2005 On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. Zbl 1131.60038 Umarov, Sabir; Gorenflo, Rudolf 10 2005 On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order. Zbl 1033.35160 Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R. 20 2000 On some boundary value problems for pseudo-differential equations with boundary operators of fractional order. Zbl 1033.35162 Gorenflo, Rudolf; Luchko, Yurii F.; Umarov, Sabir R. 4 2000 Nonlocal boundary value problems for pseudodifferential and operator-differential equations. II. Zbl 0959.35164 Umarov, S. R. 1 1998 Nonlocal boundary value problems for pseudodifferential and differential-operator equations. I. Zbl 0912.35152 Umarov, S. R. 1 1997 On well-posedness of boundary value problems for pseudodifferential equations with analytic symbols. Zbl 0790.35118 Umarov, S. R. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 566 Authors 19 Tsallis, Constantino 18 Umarov, Sabir R. 15 Ashurov, Ravshan Rajabovich 12 Nane, Erkan 10 Kobayashi, Kei 9 Atangana, Abdon 7 Nelson, Kenric P. 6 Meerschaert, Mark Marvin 6 Mijena, Jebessa B. 6 Wang, Hong 6 Zheng, Xiangcheng 5 Gorenflo, Rudolf 5 Kumar, Arun 5 Luchko, Yurii F. 5 Stojanović, Mirjana N. 4 Beghin, Luisa 4 Chen, Yangquan 4 Fëdorov, Vladimir Evgen’evich 4 Leonenko, Nikolai N. 4 Li, Zhi 4 Liu, Fawang 4 Liu, Wei 4 Mainardi, Francesco 4 Mishura, Yuliya Stepanivna 4 Pirozzi, Enrica 4 Turmetov, Batirkhan Khudaybergenovich 4 Turner, Ian William 4 Vellaisamy, Palaniappan 4 Xu, Liping 4 Yamamoto, Masahiro 3 Ascione, Giacomo 3 Bäumer, Boris 3 Bountis, Tassos C. 3 Dzhamalov, Sirojiddin Zuxriddinovich 3 Fayziev, Yusuf Ergashevich 3 Feng, Libo 3 Foondun, Mohammud 3 Girardi, Giovanni 3 Hahn, Marjorie Green 3 Iliopoulos, Aggelos C. 3 Kochubeĭ, Anatoliĭ Naumovych 3 Kumar, Yashveer 3 Luchko, Yuri 3 Nápoles Valdés, Juan E. 3 Sandev, Trifce 3 Shen, Guangjun 3 Singh, Vineet Kumar 3 Steinberg, Stanly L. 3 Tirnakli, Ugur 3 Ubaydullayev, U. Sh. 3 Wu, Jianglun 3 Yin, Deshun 2 Abdrakhmanova, Aliya A. 2 Aifantis, Elias C. 2 Allouba, Hassan 2 Antonopoulos, Chris G. 2 Asogwa, Sunday A. 2 Atanackovic, Teodor M. 2 Avazzadeh, Zakieh 2 Bouteraa, Noureddine 2 Kinderknecht, Yana A. 2 Cabada, Alberto 2 Cavalcante, Charles Casimiro 2 Chechkin, Aleksei V. 2 Chen, Zhen-Qing 2 Choi, Huichol 2 Cressoni, J. C. 2 da Silva, José Luís 2 da Silva, Marco Antonio Alves 2 D’Abbicco, Marcello 2 Deng, Changsong 2 Deng, Weihua 2 Doungmo Goufo, Emile Franc 2 D’Ovidio, Mirko 2 Fu, Hongfei 2 Gupta, Neha 2 Heris, Mahdi Saedshoar 2 Heydari, Mohammad Hossein 2 Islomov, Bozor Islomovich 2 Jauregui, Max 2 Javidi, Mohammad 2 Jigen, Peng 2 Jin, Sixian 2 Karakatsanis, L. P. 2 Kexue, Li 2 Kiliçman, Adem 2 Kim, Panki 2 Kolokoltsov, Vassili N. 2 Kon, Mark A. 2 Kondrat’yev, Yuriĭ Grygorovych 2 Kovács, Mihály 2 Li, Chenggang 2 Li, Gongsheng 2 Li, Jing 2 Li, Miao 2 Liu, Huan 2 Liu, Yikan 2 Metzler, Ralf 2 Mselmi, Farouk 2 Ng, Hon Keung Tony ...and 466 more Authors all top 5 Cited in 128 Serials 48 Fractional Calculus & Applied Analysis 25 Physica A 14 Journal of Mathematical Physics 11 Journal of Computational and Applied Mathematics 11 Lobachevskii Journal of Mathematics 9 Computers & Mathematics with Applications 9 Journal of Mathematical Analysis and Applications 9 Statistics & Probability Letters 6 Chaos, Solitons and Fractals 6 Applied Mathematics and Computation 5 Journal of Computational Physics 5 Abstract and Applied Analysis 5 Advances in Difference Equations 4 Physics Letters. A 4 Proceedings of the American Mathematical Society 4 Stochastic Analysis and Applications 4 Numerical Methods for Partial Differential Equations 4 Journal of Theoretical Probability 4 Applied Mathematical Modelling 4 Stochastic Processes and their Applications 4 Communications in Nonlinear Science and Numerical Simulation 4 Fractional Differential Calculus 3 Inverse Problems 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Integral Equations and Operator Theory 3 Journal of Differential Equations 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Applied Mathematics Letters 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Entropy 3 Journal of Statistical Mechanics: Theory and Experiment 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 3 Journal of Elliptic and Parabolic Equations 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 BIT 2 Journal of Functional Analysis 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Signal Processing 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 Fractals 2 Filomat 2 Mathematical Problems in Engineering 2 Chaos 2 Journal of Dynamical and Control Systems 2 Stochastics and Dynamics 2 Journal of Physics A: Mathematical and Theoretical 2 Asian Journal of Control 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Axioms 2 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 Applied Mathematics and Optimization 1 Calcolo 1 Illinois Journal of Mathematics 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Probability and Mathematical Statistics 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Physica D 1 Revista Matemática Iberoamericana 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Statistics. Theory and Methods 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Archives of Control Sciences 1 Potential Analysis 1 Theory of Probability and Mathematical Statistics 1 Applied and Computational Harmonic Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Communications in Probability 1 Revista Investigación Operacional 1 The Journal of Fourier Analysis and Applications 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 International Journal of Theoretical and Applied Finance 1 Methodology and Computing in Applied Probability 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations ...and 28 more Serials all top 5 Cited in 37 Fields 173 Partial differential equations (35-XX) 121 Probability theory and stochastic processes (60-XX) 86 Real functions (26-XX) 70 Numerical analysis (65-XX) 62 Ordinary differential equations (34-XX) 56 Statistical mechanics, structure of matter (82-XX) 19 Special functions (33-XX) 18 Integral equations (45-XX) 18 Systems theory; control (93-XX) 17 Operator theory (47-XX) 15 Statistics (62-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Information and communication theory, circuits (94-XX) 8 Integral transforms, operational calculus (44-XX) 8 Quantum theory (81-XX) 8 Biology and other natural sciences (92-XX) 7 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Mechanics of particles and systems (70-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 3 Sequences, series, summability (40-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year