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. Electronic Journal of Differential Equations, 2017(201), pp. 1-7.
Rights
Attribution 4.0 International