On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics S Umarov, C Tsallis, S Steinberg Milan journal of mathematics 76 (1), 307-328, 2008 | 470* | 2008 |
Generalization of symmetric α-stable Lévy distributions for q> 1 S Umarov, C Tsallis, M Gell-Mann, S Steinberg Journal of mathematical physics 51 (3), 2010 | 134 | 2010 |
Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations: Part one S Umarov, R Gorenflo J. Anal. Appl 245 (3), 449-466, 2005 | 119* | 2005 |
Variable Order Differential Equations with Piecewise Constant Order-Function and Diffusion with Changing Modes S Umarov, S Steinberg Zeitschrift für Analysis und ihre Anwendungen 28 (4), 431-450, 2009 | 113 | 2009 |
Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion M Hahn, K Kobayashi, S Umarov Proceedings of the American mathematical Society 139 (2), 691-705, 2011 | 89 | 2011 |
Introduction to fractional and pseudo-differential equations with singular symbols S Umarov Springer, 2015 | 83 | 2015 |
SDEs driven by a time-changed Lévy process and their associated time-fractional order pseudo-differential equations M Hahn, K Kobayashi, S Umarov Journal of Theoretical Probability 25, 262-279, 2012 | 68 | 2012 |
On the Cauchy and multi-point problems for partial pseudo-differential equations of fractional order R Gorenflo, YF Luchko, SR Umarov Fractional Calculus and Applied Analysis 3 (3), 249-276, 2000 | 59 | 2000 |
On fractional Duhamelʼs principle and its applications S Umarov Journal of Differential Equations 252 (10), 5217-5234, 2012 | 58 | 2012 |
Beyond The Triangle: Brownian Motion, Ito Calculus, And Fokker-Planck Equation-Fractional Generalizations S Umarov, M Hahn, K Kobayashi World Scientific, 2018 | 55 | 2018 |
Random walk models associated with distributed fractional order differential equations S Umarov, S Steinberg Lecture Notes-Monograph Series, 117-127, 2006 | 53 | 2006 |
A fractional analog of Duhamel's principle S Umarov, E Saydamatov arXiv preprint math-ph/0605024, 2006 | 48 | 2006 |
Some boundary value problems for elliptic equations with a boundary operator of fractional order SR Umarov Doklady Akademii Nauk 333 (6), 708-710, 1993 | 47 | 1993 |
Determination of the order of fractional derivative for subdiffusion equations R Ashurov, S Umarov Fractional Calculus and Applied Analysis 23 (6), 1647-1662, 2020 | 43 | 2020 |
Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations M Hahn, S Umarov Fractional Calculus and Applied Analysis 14 (1), 56-79, 2011 | 43 | 2011 |
On the well-posedness of boundary value problems for pseudodifferential equations with analytic symbols SR Umarov Doklady Akademii Nauk 322 (6), 1036-1039, 1992 | 40 | 1992 |
On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes S Umarov, R Gorenflo Fractional Calculus and Applied Analysis 8 (1), 73-88, 2005 | 36 | 2005 |
On q-Gaussians and exchangeability MG Hahn, X Jiang, S Umarov Journal of Physics A: Mathematical and Theoretical 43 (16), 165208, 2010 | 35 | 2010 |
Nonlinear statistical coupling KP Nelson, S Umarov Physica A: Statistical Mechanics and its Applications 389 (11), 2157-2163, 2010 | 34 | 2010 |
On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations M Hahn, J Ryvkina, K Kobayashi, S Umarov | 31 | 2011 |