- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative
On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative
Authors : Mohamed CHOHRİ, Soufyane BOURİAH, Salim ABDELKRİM, Mouffak BENCHOHRA
Pages : 103-120
Doi:10.31197/atnaa.1130743
View : 96 | Download : 139
Publication Date : 2023-03-31
Article Type : Research Article
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