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

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Results in Nonlinear Analysis
Volume:5 Issue:2
On the existence of mild solutions for totally nonlinear Caputo-Hadamard fractional differential equ...

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

Authors : Abdelouaheb ARDJOUNİ, Abderrahim GUERFİ

Pages : 161-168

Doi:10.53006/rna.1023029

View : 18 | Download : 12

Publication Date : 2022-06-30

Article Type : Research Paper

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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