On Nonlinear Periodic Problems with Caputo`s Exponential Fractional Derivative

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 : 128 | Download : 148

Publication Date : 2023-03-31

Article Type : Research Paper

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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