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

Yıl 2022, , 270 - 279, 30.06.2022

Alı El Mfadel , Said Melliani , Elomari M'hamed

https://doi.org/10.31197/atnaa.1059793

Cited By: 19

Öz

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.

Anahtar Kelimeler

$\psi-$fractional integral, $\psi-$Caputo fractional derivative, fixed point, Kuratowski measure, topological degree theory

Kaynakça

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