- Results in Nonlinear Analysis
- Vol: 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 Ardjouni, Abderrahim Guerfi
Pages : 161-168
Doi:10.53006/rna.1023029
View : 16 | Download : 13
Publication Date : 2022-06-30
Article Type : Research
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