Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi
Abstract:
We investigate the existence of solutions for a boundary-value problem
of coupled fractional differential inclusions supplemented with
coupled boundary conditions. By applying standard fixed point theorems
for multivalued maps, we derive some existence results for the given
problem when the multi-valued maps involved have convex and non-convex values.
Several results follow from the ones obtained in this article by
specializing the parameters involved in the problem at hand.
Submitted March 19, 2019. Published May 15, 2019.
Math Subject Classifications: 34A08, 34B15.
Key Words: Fractional differential inclusions; system; existence;
coupled boundary conditions; fixed point.
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Bashir Ahmad Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science King Abdulaziz University Jeddah 21589, Saudi Arabia email: bashirahmad_qau@yahoo.com |
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Sotiris K. Ntouyas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece email: sntouyas@uoi.gr |
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Ahmed Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science King Abdulaziz University Jeddah 21589, Saudi Arabia email: aalsaedi@hotmail.com |
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