Abstract
In this paper, the existence of unique solution is established for a coupled system of fractional differential equations that involves \(\Psi \)-Caputo fractional derivatives using the Banach contraction principle. we also discover at least one solution to the aforementioned system by employing certain assumptions and the Leray-Schauder alternative fixed point theorem. Subsequently, the Ulam–Hyers stability is discussed. Finally, a relevant example is utilized to support the main findings.
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Chefnaj, N., Hilal, K. & Kajouni, A. The existence, uniqueness and Ulam–Hyers stability results of a hybrid coupled system with \(\Psi \)-Caputo fractional derivatives. J. Appl. Math. Comput. (2024). https://doi.org/10.1007/s12190-024-02038-y
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DOI: https://doi.org/10.1007/s12190-024-02038-y