Abstract
In this paper, the existence and uniqueness of solutions for a coupled system of ψ-Hilfer type sequential fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions is investigated. The presented results are obtained via the classical Banach and Krasnosel’skiĭ’s fixed point theorems and the Leray–Schauder alternative. Examples are included to illustrate the effectiveness of the obtained results.
Highlights
Fractional calculus, as an extension of usual integer calculus, is a forceful tool to express real-world problems rather than integer-order differentiations, so that this idea has wide applications in various fields such as, mathematics, physics, engineering, biology, finance, economy and other sciences
The investigation of types of integral and differential operators and the relationship between these operators plays a key role in studying fractional differential equations
Fractional operators of a function concerning another function were introduced by Kilbas et al [5]
Summary
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematices, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. Intelligent and Nonlinear Dynamic Innovations, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand.
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