- Results in Nonlinear Analysis
- Vol: 5 Issue: 1
- New existence results for nonlinear functional hybrid differential equations involving the $\\psi-$C...
New existence results for nonlinear functional hybrid differential equations involving the $\\psi-$Caputo fractional derivative
Authors : Alı El Mfadel, Said Melliani, M'hamed Elomari
Pages : 78-86
Doi:10.53006/rna.1020895
View : 13 | Download : 6
Publication Date : 2022-03-31
Article Type : Research
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 $\\alpha\\in(0,1)$. 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