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Research articles

ScienceAsia 43(2017): 47-55 |doi: 10.2306/scienceasia1513-1874.2017.43.047

Nonlocal boundary value problems for fractional differential inclusions with Erdélyi-Kober fractional integral boundary conditions

Sotiris K. Ntouyasa,b, Jessada Tariboonc,*

ABSTRACT:     We study a new class of boundary value problems consisting of a fractional differential inclusion of Riemann-Liouville type and Erdélyi-Kober fractional integral conditions. Some new existence results for convex as well as nonconvex multivalued maps are obtained by using standard fixed-point theorems. Some illustrative examples are also presented.

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a Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
b Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
c Nonlinear Dynamic Analysis Research Centre, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800 Thailand

* Corresponding author, E-mail: jessada.t@sci.kmutnb.ac.th

Received 27 May 2017, Accepted 0 0000