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

Open Access

Original research article

Author(s):

Ali El Mfadel, Said Melliani, M’hamed Elomari

Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.

Advances in the Theory of Nonlinear Analysis and its Applications 6 (2), 270-279.

Received: January 15, 2022

Accepted: February 24, 2022

Published: February 27, 2022

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: ψ−fractional integral, ψ−Caputo fractional derivative, fixed point, Kuratowski measure, topological degree theory

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APA Style

El Mfadel, A., Melliani, S., & M’hamed, E. (2022). Existence results for nonlocal Cauchy problem of nonlinear $\psi-$ Caputo type fractional differential equations via topological degree methods. Advances in the Theory of Nonlinear Analysis and its Application , 6 (2), 270-279.