Inverse source problem for a space-time fractional diffusion equation-Reference-Cited by-同舟云学术

Inverse source problem for a space-time fractional diffusion equation

Published:2018-06-01 Issue:3 Volume:21 Page:844-863
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Ali Muhammad¹,Aziz Sara¹,Malik Salman A.¹

Affiliation:

1. Department of Mathematics , COMSATS Institute of Information Technology , Park Road , Islamabad , Pakistan

Abstract

Abstract For a space-time fractional diffusion equation, an inverse problem of determination of a space dependent source term along with the solution is considered. The fractional derivatives in time and space are defined in the sense of Caputo. Due to an over-specified data at final time say T, we proved that there exists a unique solution of the inverse source problem. We use the eigenfunction expansion method to prove our main results. Several special cases of space-time fractional diffusion equations are discussed and results are interpolated from generalized results. Some examples are provided.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0045/pdf

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