The paper is devoted to the study of the Cauchy-type problem for the differential equation involving the Riemann-Liouville partial fractional derivative of order α > 0.This work was supported, in part, by Belarusian Fundamental Research Fund (project F05MC-050), and by DGUI of G.A.CC and by ULL Research Funds
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Incomplete Cauchy-type problems are considered for linear multi-term equations solved with respect t...
In this paper, we solve the Dirichlet problem for a linear second-order partial differential equatio...
Let p (t, x) be the fundamental solution to the problem partial derivative(alpha)(t) u = -(-Delta)(b...
This paper deals with a theoretical mathematical analysis of a Cauchy problem for the time-fractiona...
We discuss the method of Laplace and Fourier integral transforms to investigation of differential eq...
We deal with a partial differential equation of fractional order where the time derivative of order ...
We investigate a nonlocal boundary value problem for the equation of special type. For $y> 0$ it is ...
The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type...
Producción CientíficaWe solve the Cauchy problem defined by the fractional partial differential equ...
We consider a Cauchy type problem in a Banach space. Under the assumption that the corresponding Cau...
In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation. Applying...
The diffusion-wave equation is a mathematical model of a wide range of important physical phenomena....
AbstractWe find solutions for the diffusion-wave problem in 1D with n-term time fractional derivativ...
This paper presents approximate analytical solutions of an initial-boundary value problem of frac...
In this paper, we consider fractional diffusion equation involving the Bessel operator acting with r...
Incomplete Cauchy-type problems are considered for linear multi-term equations solved with respect t...
In this paper, we solve the Dirichlet problem for a linear second-order partial differential equatio...
Let p (t, x) be the fundamental solution to the problem partial derivative(alpha)(t) u = -(-Delta)(b...