Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions

Authors : Houas MOHAMED

Pages : 316-329

Doi:10.31197/atnaa.683278

View : 9 | Download : 4

Publication Date : 2021-09-30

Article Type : Research Paper

Abstract :In this work, we study existence and uniqueness of solutions for a coupled system of nonlinear fractional di¤erential equations involving two Caputo-Hadamard-type fractional derivatives. By applying the Banach`s fixed point theorem and Shaefer`s fixed point theorem, the existence of solutions is obtained.The results obtained in this work are well illustrated with the aid of examples.
Keywords : Caputo Hadamard fractional calculs, Existence, Boundary conditions