Existence results for nonlocal Cauchy problem of nonlinear $\psi-$Caputo type fractional differential equations via topological degree methods

Authors : Alı EL MFADEL, Said MELLİANİ, Elomari M`HAMED

Pages : 270-279

Doi:10.31197/atnaa.1059793

View : 14 | Download : 5

Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :This manuscript is devoted to the investigation of the existence results of fractional Cauchy problem for some nonlinear ψ−Caputo fractional differential equations with non local conditions. By applying fixed point theorems, some results of topological degree theory for condensing maps and some fractional analysis techniques, we establish some new existence theorems. As application, a nontrivial example is given to illustrate our theoretical results.
Keywords : \psi fractional integral, \psi Caputo fractional derivative, fixed point, Kuratowski measure, topological degree theory