On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equations

Year 2022, Volume: 5 Issue: 2, 161 - 168, 30.06.2022

Abdelouaheb Ardjouni , Abderrahim Guerfi

https://doi.org/10.53006/rna.1023029

Cited By: 3

Abstract

The existence of mild solutions of a totally nonlinear Caputo-Hadamard fractional differential equation is
investigated using the Krasnoselskii-Burton fixed point theorem and some results are presented. Two example
are given to illustrate our obtained results.

Keywords

Fractional differential equations, Krasnoselskii-Burton fixed point, Large contraction, Existence, Mild solutions

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