A coupled non-separated system of Hadamard-type fractional differential equations

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:1
A coupled non-separated system of Hadamard-type fractional differential equations

A coupled non-separated system of Hadamard-type fractional differential equations

Authors : Saleh REDHWAN, Suad ALMAYYAHİ, Sadikali SHAİKH, Mohammed ABDO

Pages : 33-44

Doi:10.31197/atnaa.925365

View : 16 | Download : 12

Publication Date : 2022-03-31

Article Type : Research Paper

Abstract :In this article, we discuss the existence and uniqueness of solutions of a coupled non-separated system for fractional differential equations involving a Hadamard fractional derivative. The existence and uniqueness results obtained in the present study are not only new but also cover some results corresponding to special values of the parameters involved in the Caputo problems. These developed results are obtained by apply- ing Banach`s fixed point theorem and Leray-Schauder`s nonlinear alternative. An example is presented to illustrate our main results.
Keywords : Fractional differential equations, fixed point theorems, boundary conditions Generalized fractional operators

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