On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions
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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.
Share and Cite
ISRP Style
Bashir Ahmad, Sotiris K. Ntouyas, Jessada Tariboon, On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4235--4246
AMA Style
Ahmad Bashir, Ntouyas Sotiris K., Tariboon Jessada, On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions. J. Nonlinear Sci. Appl. (2016); 9(6):4235--4246
Chicago/Turabian Style
Ahmad, Bashir, Ntouyas, Sotiris K., Tariboon, Jessada. "On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4235--4246
Keywords
- Caputo fractional derivative
- integro-differential inclusion
- hybrid boundary value problem
- fixed point theorem.
MSC
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