English

Four-point boundary value problems for a coupled system of fractional differential equations with $\psi$-Caputo fractional derivatives

Classical Analysis and ODEs 2020-07-21 v1 Functional Analysis

Abstract

In this paper, we focus on the existence and uniqueness of solutions of boundary value problems for a coupled system of fractional differential equations with four-point boundary conditions involving ψ\psi-Caputo fractional derivatives. Our investigation is based on Leray-Schauder alternative and Banach's fixed point theorem. Two examples are presented to illustrate the applicability of the results developed.

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Cite

@article{arxiv.2007.10325,
  title  = {Four-point boundary value problems for a coupled system of fractional differential equations with $\psi$-Caputo fractional derivatives},
  author = {Mohamed I. Abbas},
  journal= {arXiv preprint arXiv:2007.10325},
  year   = {2020}
}

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15 pages