Solvability of a generalized ψ-Riemann–Liouville fractional BVP under nonlocal boundary conditions

Faouzi Haddouchi and Mohammad Esmael Samei

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 219, issue C, 355-377

Abstract: In this paper we consider a class of nonlinear BVP involving fractional derivative in the ψ-Riemann–Liouville sense with nonlocal boundary conditions. By means of some properties of the Green’s function and fixed point theorems due to Banach, Boyd-Wong, and Rus, existence of a unique solution is obtained. We have some examples that prove the theory is true.

Keywords: ψ-Riemann–Liouville fractional differential equation; Existence and uniqueness; Banach contraction principle; Boyd–Wong contraction principle; Rus’s contraction principle (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:219:y:2024:i:c:p:355-377

DOI: 10.1016/j.matcom.2023.12.029

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