Advances in Difference Equations
Volume 2011 (2011), Article ID 296353, 13 pages
doi:10.1155/2011/296353
Research Article

Employing of Some Basic Theory for Class of Fractional Differential Equations

Azizollah Babakhani1 and Dumitru Baleanu2,3

1Faculty of Basic Science, Babol University of Technology, Babol 47148-71167, Iran
2Department of Mathematics and Computer Science, Cankaya University, 06530 Ankara, Turkey
3Institute of Space Sciences, P.O. Box MG-23, Magurele, 077125 Bucharest, Romania

Received 19 September 2010; Accepted 15 November 2010

Academic Editor: J. J. Trujillo

Copyright © 2011 Azizollah Babakhani and Dumitru Baleanu. 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

Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical approach from the work of Lakshmikantham and A. S. Vatsala (2008). The theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered. Our work employed recent literature from the work of (Lakshmikantham and A. S. Vatsala, (2008)).