Kamonrat Sombut, Piyachat Borisut, Nonthiya Makate, Konrawut Khammahawong, Existence and uniqueness of solutions of a coupled system of $\psi$-Hilfer fractional differential equations under uncoupled non-local multi point conditions involving fixed point theorems, Vol. 2024 (2024), Article ID 21, pp. 1-16

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DOI: 10.23952/jnfa.2024.21

Received June 29, 2024; Accepted September 7, 2024; Published October 14, 2024

Abstract. In this paper we study and investigate the existence and uniqueness of solutions for a coupled system of the $\psi$ -Hilfer fractional differential equation under uncoupled non-local multi-point conditions. By using Schaefer and Banach fixed point theorems, we prove the existence and uniqueness of solutions to the problem. An example is provided to support our main theorems.

How to Cite this Article:
K. Sombut, P. Borisut, N. Makate, K. Khammahawong, Existence and uniqueness of solutions of a coupled system of $\psi$ -Hilfer fractional differential equations under uncoupled non-local multi point conditions involving fixed point theorems, J. Nonlinear Funct. Anal. 2024 (2024) 21.