On hybrid fractional differential equations with nonlocal conditions via ABC derivative

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Abderrahim Kraita
Ahmed Hajji

Abstract

In this article, we study the existence of solutions to a fractional hybrid integro-differential equation with nonlocal boundary conditions. Our approach is based on a generalized version of Dhage’s hybrid fixed point theorem, adapted to the sum of three fractional operators. To illustrate the applicability of our main result, we conclude with a concrete example, accompanied by numerical results and graphical representations generated using Python.

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How to Cite

On hybrid fractional differential equations with nonlocal conditions via ABC derivative. (2025). Gulf Journal of Mathematics, 20(1), 381-390. https://doi.org/10.56947/gjom.v20i.3024