S
Sabir Umarov
Researcher at University of New Haven
Publications - 71
Citations - 1749
Sabir Umarov is an academic researcher from University of New Haven. The author has contributed to research in topics: Fractional calculus & Differential equation. The author has an hindex of 24, co-authored 69 publications receiving 1579 citations. Previous affiliations of Sabir Umarov include Academy of Sciences of Uzbekistan & Tufts University.
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On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics
TL;DR: The standard central limit theorem plays a fundamental role in Boltzmann-Gibbs statistical mechanics and has been successfully applied to a considerable amount of physically interesting complex phenomena as mentioned in this paper.
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Generalization of symmetric α-stable Lévy distributions for q >1
TL;DR: In this article, the authors studied sequences of long-range dependent random variables whose distributions have asymptotic power-law decay, and which are called (q,α)-stable distributions.
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Generalization of symmetric $\alpha$-stable L\'evy distributions for $q>1$
TL;DR: In this paper, the authors study sequences of long-range dependent random variables whose distributions have asymptotic power law decay, and which are called $(q,\alpha)$-stable distributions.
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Cauchy and Nonlocal Multi-Point Problems for Distributed Order Pseudo-Differential Equations, Part One
Rudolf Gorenflo,Sabir Umarov +1 more
TL;DR: In this paper, the question of existence, uniqueness and construction of a solution to the Cauchy and multi-point problems for a general linear evolution equation with (in general) temporal fractional derivatives with distributed orders is treated.
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Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion
TL;DR: In this article, the semigroup property of Fokker-planck-Kolmogorov type equations associated with stochastic differential equations driven by a time-changed fractional Brownian motion is investigated.