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Abstract
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In this paper, we study a general system of fractional hybrid di fferential equations with
a nonlinear p-operator, and prove the existence of solution, uniqueness of solution and Hyers-Ulam
stability. We use the Caputo fractional derivative in this system so that our system is more general
and complex than other nonlinear systems studied before. To establish the results, Green functions
are used to transform the considered hybrid boundary problem into a system of fractional integral
equations. Then, with the help of the topological degree theorem, we derive some sufficient conditions
that ensure the existence and uniqueness of solutions for the proposed system. Finally, an example is
presented to show the validity and correctness of the obtained results.
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