Journal of Applied Mathematics
Volume 2012 (2012), Article ID 482890, 9 pages
http://dx.doi.org/10.1155/2012/482890
Research Article

Finite Element Method for Linear Multiterm Fractional Differential Equations

Abdallah A. Badr

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

Received 14 September 2012; Revised 5 October 2012; Accepted 5 October 2012

Academic Editor: Morteza Rafei

Copyright © 2012 Abdallah A. Badr. 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

We consider the linear multiterm fractional differential equation (fDE). Existence and uniqueness of the solution of such equation are discussed. We apply the finite element method (FEM) to obtain the numerical solution of this equation using Galerkin approach. A comparison, through examples, between our techniques and other previous numerical methods is established.