New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions

Boundary value problems

Bashir Ahmad¹  Ahmed Alsaedi¹  Sotiris K Ntouyas² 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, University of Ioannina, Ioannina, Greece

关键词: Hadamard fractional derivative;    integral boundary conditions;    fixed point theorems;   

DOI  :  10.1186/1687-2770-2013-275

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY