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.

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