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Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions
Journal article   Peer reviewed

Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions

Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi and Juan J. Nieto
Applied mathematics letters, Vol.116, p.107018
06/2021
DOI: https://doi.org/10.1016/j.aml.2021.107018

Abstract

Existence Fixed point Fractional differential equation Nonlocal integral boundary conditions System
This paper is concerned with the existence and uniqueness of solutions for a nonlinear fractional-order coupled system involving Caputo fractional derivatives of different orders equipped with a new kind of coupled boundary conditions. We transform the given system into an equivalent fixed point problem and solve it by applying the standard fixed point theorems. Examples are constructed for the illustration of the obtained results.

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