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Existence results for Riemann-Liouville fractional integro-differential inclusions with fractional nonlocal integral boundary conditions
Journal article   Open access  Peer reviewed

Existence results for Riemann-Liouville fractional integro-differential inclusions with fractional nonlocal integral boundary conditions

Bashir Ahmad, Badrah Alghamdi, Ahmed Alsaedi, K. Sotiris Ntouyas and 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
AIMS mathematics, Vol.6(7), pp.7093-7110
01/01/2021
DOI: https://doi.org/10.3934/math.2021416

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce a new class of problems consisting of Riemann-Liouville fractional integrodifferential inclusions supplemented with fractional nonlocal multi-point boundary conditions. The existence results for the given problem are derived in the weighted space with the aid of appropriate fixed point theorems for multi-valued maps. Numerical examples are constructed for the illustration of the obtained results.
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https://doi.org/10.3934/math.2021416View
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