On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative

Year 2023, Volume: 7 Issue: 1, 103 - 120, 31.03.2023

Mohamed Chohri Soufyane Bouriah Salim Abdelkrim , Mouffak Benchohra

https://doi.org/10.31197/atnaa.1130743

Cited By: 2

Abstract

In this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applicability of our results.

Keywords

Caputo, implicit fractional differential equations, fractional integral, existence, coincidence degree theory

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