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Advances in Mathematical Physics
Volume 2013 (2013), Article ID 476154, 8 pages
http://dx.doi.org/10.1155/2013/476154
Research Article

On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations: Determination of the Source Function

1Department of Mathematics, Science and Letter Faculty, Kocaeli University, Umuttepe Campus, 41380 Kocaeli, Turkey
2Ardahan University, 75000 Ardahan, Turkey

Received 22 May 2013; Revised 12 September 2013; Accepted 12 September 2013

Academic Editor: H. Srivastava

Copyright © 2013 Gülcan Özkum et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM). We apply ADM to determine the continuous right hand side functions and in the heat-like diffusion equations and , respectively. The results reveal that ADM is very effective and simple for the inverse problem of determining the source function.