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

Year 2022, Volume: 5 Issue: 1, 78 - 86, 31.03.2022

Alı El Mfadel Said Melliani M'hamed Elomari

https://doi.org/10.53006/rna.1020895

Cited By: 11

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

Thanks

The authors would like to express their sincere apreciation to the editor and to the referees for their very helpful suggestions and many kind comments.

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