New existence results for nonlinear functional hybrid differential equations involving the $\\psi-$Caputo fractional derivative

Authors : Alı EL MFADEL, Said MELLİANİ, M\`hamed ELOMARİ

Pages : 78-86

Doi:10.53006/rna.1020895

View : 17 | Download : 8

Publication Date : 2022-03-31

Article Type : Research Paper

Abstract :In this manuscript, we are concerned with the existence result of nonlinear hybrid differential equations involving $\\psi-$Caputo fractional derivatives of an arbitrary order $\\alpha\\ininsert ignore into journalissuearticles values(0,1);$. By applying Krasnoselskii fixed point theorem and some fractional analysis techniques, we prove our main result. As application, a nontrivial example is given to demonstrate the effectiveness of our theoretical result.
Keywords : \\psi fractional integral, \\psi Caputo fractional derivative, Carathéodory function