Fixed point approach for nonlinear ψ-caputo fractional differential hybrid coupled system with periodic boundary conditions
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Keywords:
Existence, ψ-Caputo fractional derivative, coupled systems, boundary conditions, periodic conditions, uniquenessAbstract
This article addresses the existence, uniqueness, and Ulam-Hyers stability of a class of nonlinear ψ -Caputo fractional differential hybrid coupled systems with periodic boundary conditions. Our approach is based on two key fixed point theorems: Banach’s contraction principle and Scheafer’s fixed point theorem. We provide a thorough discussion of the theoretical results and demonstrate their practical utility with a concrete example.
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