Nonlocal initial boundary value problem for the time-fractional diffusion equation

Date

2017-08-31

Authors

Sadybekov, Makhmud
Oralsyn, Gulaiym

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we discuss a method for constructing trace formulae for the heat-volume potential of the time-fractional diffusion equation to lateral surfaces of cylindrical domains and use these conditions to construct as well as to study a nonlocal initial boundary value problem for the time-fractional diffusion equation.

Description

Keywords

Time-fractional diffusion equation, Fundamental solution, Time-fractional heat potential, Layer potentials, Nonlocal boundary conditions

Citation

Sadybekov, M., & Oralsyn, G. (2017). Nonlocal initial boundary value problem for the time-fractional diffusion equation. <i>Electronic Journal of Differential Equations, 2017</i>(201), pp. 1-7.

Rights

Attribution 4.0 International

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