Differential equations and inclusions involving mixed fractional derivatives with four-point nonlocal fractional boundary conditions

Bashir Ahmad; Sotiris K. Ntouyas; Ahmed Alsaedi

Differential equations and inclusions involving mixed fractional derivatives with four-point nonlocal fractional boundary conditions

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 https://orcid.org/0009-0005-3174-762X
Sotiris K. Ntouyas Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece https://orcid.org/0009-0005-3174-762X
Ahmed Alsaedi 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 https://orcid.org/0009-0005-3174-762X

Keywords:

ractional differential equations; fractional differential inclusions; fractional derivative; boundary value problem; existence; fixed

Abstract

We study a new class of boundary value problems of mixed fractional differential equations and inclusions involving both left Caputo and right Riemann Liouville fractional derivatives, and nonlocal four-point fractional boundary conditions. We apply the standard tools of the fixed-point theory to obtain the sufficient criteria for the existence and uniqueness of solutions for the problems at hand. Illustrative examples for the obtained results are also presented.

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Published

2021-10-04

How to Cite

Bashir Ahmad, Sotiris K. Ntouyas, & Ahmed Alsaedi. (2021). Differential equations and inclusions involving mixed fractional derivatives with four-point nonlocal fractional boundary conditions. Journal of Computational Analysis and Applications (JoCAAA), 29(5), 817–837. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/195