On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions

Volume 9, Issue 6, pp 4235--4246 http://dx.doi.org/10.22436/jnsa.009.06.65

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Authors

Bashir Ahmad - 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. Sotiris K. Ntouyas - 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. - Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece. Jessada Tariboon - Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand.

Abstract

We investigate the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential inclusions. A hybrid fixed point theorem of Schaefer type for a sum of three operators due to Dhage is applied to obtain the main result. The paper concludes with an illustrative example.

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Keywords

• Caputo fractional derivative
• integro-differential inclusion
• hybrid boundary value problem
• fixed point theorem.

MSC

•  34A08
•  34A12
•  34A60

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