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Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions
Authors:Bashir Ahmad  Ahmed Alsaedi  Hana Al-Hutami
Affiliation:1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
Abstract:This paper investigates the existence of solutions for a nonlinear boundary value problem of sequential fractional differential equations with four-point nonlocal Riemann-Liouville type fractional integral boundary conditions. We apply Banach’s contraction principle and Krasnoselskii’s fixed point theorem to establish the existence of results. Some illustrative examples are also presented.
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