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Author ID: umarov.sabir-r Recent zbMATH articles by "Umarov, Sabir R."
Published as: Umarov, Sabir; Umarov, S. R.; Umarov, Sabir R.; Umarov, S.
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

Publications by Year

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 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