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## Umarov, Sabir R.

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 Author ID: umarov.sabir-r Published as: Umarov, Sabir; Umarov, S. R.; Umarov, Sabir R.; Umarov, S. External Links: MGP
 Documents Indexed: 54 Publications since 1983, including 2 Books Reviewing Activity: 41 Reviews
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#### Co-Authors

 20 single-authored 7 Hahn, Marjorie Green 5 Steinberg, Stanly L. 5 Tsallis, Constantino 4 Ashurov, Ravshan R. 4 Gorenflo, Rudolf 4 Kobayashi, Kei 3 Nelson, Kenric P. 2 Jiang, Xinxin 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 Gell-Mann, Murray 1 Kal’menov, Tynysbek Sharipovich 1 Kanguzhin, Baltabek Esmatovich 1 Karachik, Valeriĭ Valentinovich 1 Kon, Mark A. 1 Nazarova, M. Kh. 1 Ryvkina, Jelena 1 Shinaliyev, Kanat M. 1 Suragan, Durvudkhan 1 Tokmagambetov, Niyaz Esenzholovich 1 Torebek, Berikbol Tillabayuly
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#### Serials

 15 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 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 Physica A 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
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#### Fields

 36 Partial differential equations (35-XX) 21 Probability theory and stochastic processes (60-XX) 11 Real functions (26-XX) 9 Operator theory (47-XX) 7 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)

#### Citations contained in zbMATH Open

33 Publications have been cited 363 times in 244 Documents Cited by Year
On a $$q$$ -central limit theorem consistent with nonextensive statistical mechanics. Zbl 1182.60011
Umarov, Sabir; Tsallis, Constantino; Steinberg, Stanly
2008
Variable order differential equations with piecewise constant order-function and diffusion with changing modes. Zbl 1181.35359
Umarov, Sabir; Steinberg, Stanly
2009
Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I. Zbl 1100.35132
Umarov, Sabir; Gorenflo, Rudolf
2005
Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion. Zbl 1218.60030
Hahn, Marjorie G.; Kobayashi, Kei; Umarov, Sabir
2011
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
2012
Generalization of symmetric $$\alpha$$-stable Lévy distributions for $$q > 1$$. Zbl 1309.60014
Umarov, Sabir; Tsallis, Constantino; Gell-Mann, Murray; Steinberg, Stanly
2010
On fractional Duhamel’s principle and its applications. Zbl 1247.34010
Umarov, Sabir
2012
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.
2000
Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations. Zbl 1273.35293
Hahn, Marjorie; Umarov, Sabir
2011
Introduction to fractional and pseudo-differential equations with singular symbols. Zbl 1331.35005
Umarov, Sabir
2015
Continuous time random walk models associated with distributed order diffusion equations. Zbl 1319.60096
Umarov, Sabir
2015
On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations. Zbl 1231.60029
Hahn, Marjorie G.; Ryvkina, Jelena; Kobayashi, Kei; Umarov, Sabir
2011
A fractional analog of the Duhamel principle. Zbl 1122.26008
Umarov, Sabir; Saydamatov, Erkin
2006
Beyond the triangle. Brownian motion, Ito calculus, and Fokker-Planck equation: fractional generalizations. Zbl 1403.60001
Umarov, Sabir; Hahn, Marjorie; Kobayashi, Kei
2018
Random walk models associated with distributed fractional order differential equations. Zbl 1205.60092
Umarov, Sabir; Steinberg, Stanly
2006
On multivariate generalizations of the $$q$$-central limit theorem consistent with nonextensive statistical mechanics. Zbl 1151.82302
Umarov, Sabir; Tsallis, Constantino
2007
A generalization of Duhamel’s principle for differential equations of fractional order. Zbl 1327.35068
Umarov, S. R.; Saidamatov, E. M.
2007
On $$q$$-Gaussians and exchangeability. Zbl 1201.82035
Hahn, Marjorie G.; Jiang, Xinxin; Umarov, Sabir
2010
On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. Zbl 1131.60038
Umarov, Sabir; Gorenflo, Rudolf
2005
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
2006
On a representation of the inverse $$F_{q}$$-transform. Zbl 1221.82017
Umarov, Sabir; Tsallis, Constantino
2008
Fractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domain. Zbl 1374.60109
Umarov, Sabir
2017
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.
2000
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.
2020
Functional differential equations for the $$q$$-Fourier transform of $$q$$-Gaussians. Zbl 1194.43005
Umarov, S.; Duarte Queirós, S. M.
2010
Determination of the order of fractional derivative for subdiffusion equations. Zbl 07329879
Ashurov, Ravshan; Umarov, Sabir
2020
Fractional generalizations of filtering problems and their associated fractional Zakai equations. Zbl 1306.60081
Umarov, Sabir; Daum, Frederick; Nelson, Kenric
2014
On well-posedness of boundary value problems for pseudodifferential equations with analytic symbols. Zbl 0790.35118
Umarov, S. R.
1992
Nonlocal boundary value problems for pseudodifferential and differential-operator equations. I. Zbl 0912.35152
Umarov, S. R.
1997
Nonlocal boundary value problems for pseudodifferential and operator-differential equations. II. Zbl 0959.35164
Umarov, S. R.
1998
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.
2012
On the average uncertainty for systems with nonlinear coupling. Zbl 1400.82016
Nelson, Kenric P.; Umarov, Sabir R.; Kon, Mark A.
2017
On generalized Leibniz triangles and $$q$$-gaussians. Zbl 1266.60070
Jiang, Xinxin; Hahn, Marjorie; Umarov, Sabir
2012
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.
2020
Determination of the order of fractional derivative for subdiffusion equations. Zbl 07329879
Ashurov, Ravshan; Umarov, Sabir
2020
Beyond the triangle. Brownian motion, Ito calculus, and Fokker-Planck equation: fractional generalizations. Zbl 1403.60001
Umarov, Sabir; Hahn, Marjorie; Kobayashi, Kei
2018
Fractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domain. Zbl 1374.60109
Umarov, Sabir
2017
On the average uncertainty for systems with nonlinear coupling. Zbl 1400.82016
Nelson, Kenric P.; Umarov, Sabir R.; Kon, Mark A.
2017
Introduction to fractional and pseudo-differential equations with singular symbols. Zbl 1331.35005
Umarov, Sabir
2015
Continuous time random walk models associated with distributed order diffusion equations. Zbl 1319.60096
Umarov, Sabir
2015
Fractional generalizations of filtering problems and their associated fractional Zakai equations. Zbl 1306.60081
Umarov, Sabir; Daum, Frederick; Nelson, Kenric
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
2012
On fractional Duhamel’s principle and its applications. Zbl 1247.34010
Umarov, Sabir
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.
2012
On generalized Leibniz triangles and $$q$$-gaussians. Zbl 1266.60070
Jiang, Xinxin; Hahn, Marjorie; Umarov, Sabir
2012
Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion. Zbl 1218.60030
Hahn, Marjorie G.; Kobayashi, Kei; Umarov, Sabir
2011
Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations. Zbl 1273.35293
Hahn, Marjorie; Umarov, Sabir
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
2011
Generalization of symmetric $$\alpha$$-stable Lévy distributions for $$q > 1$$. Zbl 1309.60014
Umarov, Sabir; Tsallis, Constantino; Gell-Mann, Murray; Steinberg, Stanly
2010
On $$q$$-Gaussians and exchangeability. Zbl 1201.82035
Hahn, Marjorie G.; Jiang, Xinxin; Umarov, Sabir
2010
Functional differential equations for the $$q$$-Fourier transform of $$q$$-Gaussians. Zbl 1194.43005
Umarov, S.; Duarte Queirós, S. M.
2010
Variable order differential equations with piecewise constant order-function and diffusion with changing modes. Zbl 1181.35359
Umarov, Sabir; Steinberg, Stanly
2009
On a $$q$$ -central limit theorem consistent with nonextensive statistical mechanics. Zbl 1182.60011
Umarov, Sabir; Tsallis, Constantino; Steinberg, Stanly
2008
On a representation of the inverse $$F_{q}$$-transform. Zbl 1221.82017
Umarov, Sabir; Tsallis, Constantino
2008
On multivariate generalizations of the $$q$$-central limit theorem consistent with nonextensive statistical mechanics. Zbl 1151.82302
Umarov, Sabir; Tsallis, Constantino
2007
A generalization of Duhamel’s principle for differential equations of fractional order. Zbl 1327.35068
Umarov, S. R.; Saidamatov, E. M.
2007
A fractional analog of the Duhamel principle. Zbl 1122.26008
Umarov, Sabir; Saydamatov, Erkin
2006
Random walk models associated with distributed fractional order differential equations. Zbl 1205.60092
Umarov, Sabir; Steinberg, Stanly
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
2006
Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I. Zbl 1100.35132
Umarov, Sabir; Gorenflo, Rudolf
2005
On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. Zbl 1131.60038
Umarov, Sabir; Gorenflo, Rudolf
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.
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.
2000
Nonlocal boundary value problems for pseudodifferential and operator-differential equations. II. Zbl 0959.35164
Umarov, S. R.
1998
Nonlocal boundary value problems for pseudodifferential and differential-operator equations. I. Zbl 0912.35152
Umarov, S. R.
1997
On well-posedness of boundary value problems for pseudodifferential equations with analytic symbols. Zbl 0790.35118
Umarov, S. R.
1992
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#### Cited by 363 Authors

 17 Tsallis, Constantino 15 Umarov, Sabir R. 10 Nane, Erkan 8 Atangana, Abdon 8 Kobayashi, Kei 6 Meerschaert, Mark Marvin 6 Wang, Hong 5 Gorenflo, Rudolf 5 Mijena, Jebessa B. 5 Nelson, Kenric P. 5 Stojanović, Mirjana N. 5 Zheng, Xiangcheng 4 Chen, Yangquan 4 Luchko, Yurii F. 4 Mainardi, Francesco 3 Bäumer, Boris 3 Beghin, Luisa 3 Bountis, Tassos C. 3 Fëdorov, Vladimir Evgen’evich 3 Feng, Libo 3 Foondun, Mohammud 3 Hahn, Marjorie Green 3 Kochubeĭ, Anatoliĭ Naumovych 3 Leonenko, Nikolai N. 3 Liu, Fawang 3 Luchko, Yuri 3 Mishura, Yuliya Stepanivna 3 Sandev, Trifce 3 Steinberg, Stanly L. 3 Turner, Ian William 3 Vellaisamy, Palaniappan 2 Abdrakhmanova, Aliya A. 2 Allouba, Hassan 2 Antonopoulos, Chris G. 2 Ascione, Giacomo 2 Ashurov, Ravshan R. 2 Asogwa, Sunday A. 2 Atanackovic, Teodor M. 2 Avazzadeh, Zakieh 2 Kinderknecht, Yana A. 2 Cabada, Alberto 2 Cavalcante, Charles Casimiro 2 Chechkin, Aleksei V. 2 Choi, Huichol 2 da Silva, José Luís 2 Deng, Changsong 2 dos Santos, Maike A. F. 2 D’Ovidio, Mirko 2 Heris, Mahdi Saedshoar 2 Heydari, Mohammad Hossien 2 Iliopoulos, Aggelos C. 2 Islomov, Bozor Islomovich 2 Jauregui, Max 2 Javidi, Mohammad 2 Jigen, Peng 2 Jin, Sixian 2 Kexue, Li 2 Kiliçman, Adem 2 Kondrat’yev, Yuriĭ Grygorovych 2 Kovács, Mihály 2 Li, Chenggang 2 Li, Jing 2 Metzler, Ralf 2 Pak, Sunae 2 Pilipović, Stevan 2 Pirozzi, Enrica 2 Plastino, Angel Ricardo 2 Ruiz, Guiomar 2 Sá da Costa, J. M. G. 2 Sankaranarayanan, Harish 2 Sikorskii, Alla 2 Sin, Kinam 2 Tirnakli, Ugur 2 Turmetov, Batirkhan Khudaybergenovich 2 Ubaydullayev, U. Sh. 2 Valério, Duarte 2 Warma, Mahamadi 2 Xu, Yufeng 2 Yamamoto, Masahiro 1 Aifantis, Elias C. 1 Alikhanov, Anatoly A. 1 Alipour, Mohsen 1 Amanov, Djumaklych 1 Andrade, Luiza H. F. 1 Andrisani, Andrea 1 Anh, Vo V. 1 Ansari, Alireza 1 Antil, Harbir 1 Araújo, Amarisio S. 1 Ashyralyev, Allaberen 1 Assis, Vladimir R. V. 1 Badalyan, A. Yu. 1 Bahaa, Gaber Mohamed 1 Bensebaa, S. 1 Berdyshev, Abdumauvlen Suleymanovich 1 Berry, Tyrus 1 Bian, Songhan 1 Bogdan, Krzysztof 1 Boĭko, K. V. 1 Bolster, Diogo T. ...and 263 more Authors
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#### Cited in 95 Serials

 36 Fractional Calculus & Applied Analysis 13 Journal of Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Journal of Computational and Applied Mathematics 8 Statistics & Probability Letters 7 Computers & Mathematics with Applications 7 Physica A 5 Journal of Computational Physics 5 Abstract and Applied Analysis 5 Lobachevskii Journal of Mathematics 4 Physics Letters. A 4 Chaos, Solitons and Fractals 4 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 Advances in Difference Equations 3 Journal of Statistical Physics 3 Integral Equations and Operator Theory 3 Journal of Differential Equations 3 Stochastic Analysis and Applications 3 Applied Numerical Mathematics 3 Journal of Theoretical Probability 3 Stochastic Processes and their Applications 3 Entropy 3 Journal of Statistical Mechanics: Theory and Experiment 2 Inverse Problems 2 BIT 2 Journal of Functional Analysis 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 Signal Processing 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 Chaos 2 Discrete and Continuous Dynamical Systems. Series B 2 Asian Journal of Control 2 Axioms 2 1 Applicable Analysis 1 Lithuanian Mathematical Journal 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 Illinois Journal of Mathematics 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Russian Mathematics 1 Potential Analysis 1 Theory of Probability and Mathematical Statistics 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Fractals 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Differential Equations and Dynamical Systems 1 International Journal of Theoretical and Applied Finance 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Methodology and Computing in Applied Probability 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Inverse Problems in Science and Engineering 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Mathematics of Communications 1 Nonlinear Analysis. Hybrid Systems 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Nonlinear Phenomena in Complex Systems (Minsk) 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 Arabian Journal of Mathematics 1 Fractional Differential Calculus 1 Evolution Equations and Control Theory 1 Mathematics 1 Open Mathematics 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
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#### Cited in 37 Fields

 118 Partial differential equations (35-XX) 86 Probability theory and stochastic processes (60-XX) 55 Real functions (26-XX) 46 Numerical analysis (65-XX) 41 Ordinary differential equations (34-XX) 35 Statistical mechanics, structure of matter (82-XX) 16 Operator theory (47-XX) 15 Integral equations (45-XX) 13 Special functions (33-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Statistics (62-XX) 8 Systems theory; control (93-XX) 7 Information and communication theory, circuits (94-XX) 6 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Biology and other natural sciences (92-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-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 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)