Advances in Mathematical Physics
Volume 2013 (2013), Article ID 823961, 9 pages
http://dx.doi.org/10.1155/2013/823961
Research Article
On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval
1Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran
2Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, Turkey
3Institute of Space Sciences, P.O. BOX MG-23, 76900 Magurele, Bucharest, Romania
4Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
5Department of Mathematics, Texas A & M University-Kingsville, 700 University Boulevard, Kingsville, USA
6Department of Mathematics, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
Received 12 January 2013; Accepted 22 January 2013
Academic Editor: José Tenreiro Machado
Copyright © 2013 Nemat Nyamoradi 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
We investigate the existence of solutions for the following multipoint boundary value problem of a fractional order differential inclusion , where is the standard Riemann-Liouville fractional derivative, , satisfies , and is a set-valued map. Several results are obtained by using suitable fixed point theorems when the right hand side has convex or nonconvex values.