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Mathematical Problems in Engineering
Volume 2015, Article ID 217348, 10 pages
http://dx.doi.org/10.1155/2015/217348
Research Article

Application of Sinc-Galerkin Method for Solving Space-Fractional Boundary Value Problems

1Department of Management Information Systems, Bartin University, 74100 Bartin, Turkey
2Department of Mathematical Engineering, Yildiz Technical University, 34220 Istanbul, Turkey

Received 10 June 2014; Accepted 13 July 2014

Academic Editor: Abdon Atangana

Copyright © 2015 Sertan Alkan and Aydin Secer. 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 employ the sinc-Galerkin method to obtain approximate solutions of space-fractional order partial differential equations (FPDEs) with variable coefficients. The fractional derivatives are used in the Caputo sense. The method is applied to three different problems and the obtained solutions are compared with the exact solutions of the problems. These comparisons demonstrate that the sinc-Galerkin method is a very efficient tool in solving space-fractional partial differential equations.