New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions
1 Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
2 Department of Mathematics, University of Ioannina, Ioannina, 451 10, Greece
Boundary Value Problems 2013, 2013:275 doi:10.1186/1687-2770-2013-275Published: 13 December 2013
In this paper, we study the existence of solutions for a fractional boundary value problem involving Hadamard-type fractional differential inclusions and integral boundary conditions. Our results include the cases for convex as well as non-convex valued maps and are based on standard fixed point theorems for multivalued maps. Some illustrative examples are also presented.
MSC: 34A60, 34A08.