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pro vyhledávání: '"Umarov, Sabir"'
Autor:
Umarov, Sabir
This paper is devoted to the general theory of systems of time-fractional differential-operator equations. The representation formulas for solutions of systems of ordinary differential equations with single (commensurate) fractional order is known th
Externí odkaz:
http://arxiv.org/abs/2402.02638
A nonlocal boundary value problem for the fractional version of the well known in fluid dynamics Rayleigh-Stokes equation is studied. Namely, the condition $u(x,T)=\beta u(x,0)+\varphi(x)$, where $\beta $ is an arbitrary real number, is proposed inst
Externí odkaz:
http://arxiv.org/abs/2303.10652
Autor:
Ashurov, Ravshan, Umarov, Sabir
As it is known various dynamical processes can be modeled through the systems of time-fractional order pseudo-differential equations. In the modeling process one frequently faces with determining the adequate orders of time-fractional derivatives in
Externí odkaz:
http://arxiv.org/abs/2107.08830
Autor:
Ashurov, Ravshan, Umarov, Sabir
Publikováno v:
Fract. Calc. Appl. Anal. Vol. 23, No 6 (2020), pp. 1647-1662
The identification of the right order of the equation in applied fractional modeling plays an important role. In this paper we consider an inverse problem for determining the order of time fractional derivative in a subdiffusion equation with an arbi
Externí odkaz:
http://arxiv.org/abs/2005.13468
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The geometric mean is shown to be an appropriate statistic for the scale of a heavy-tailed coupled Gaussian distribution or equivalently the Student's t distribution. The coupled Gaussian is a member of a family of distributions parameterized by the
Externí odkaz:
http://arxiv.org/abs/1804.03989
Autor:
Umarov, Sabir
This paper is devoted to the fractional generalization of the Fokker-Planck equation associated with a stochastic differential equation in a bounded domain. The driving process of the stochastic differential equation is a L\'evy process subordinated
Externí odkaz:
http://arxiv.org/abs/1610.08100
Autor:
Umarov, Sabir, Tsallis, Constantino
In a paper by Umarov, Tsallis and Steinberg (2008), a generalization of the Fourier transform, called the $q$-Fourier transform, was introduced and applied for the proof of a $q$-generalized central limit theorem ($q$-CLT). Subsequently, Hilhorst ill
Externí odkaz:
http://arxiv.org/abs/1609.02425
The increased uncertainty and complexity of nonlinear systems have motivated investigators to consider generalized approaches to defining an entropy function. New insights are achieved by defining the average uncertainty in the probability domain as
Externí odkaz:
http://arxiv.org/abs/1510.06951