Existence and uniqueness of boundary value problems for nonlinear hybrid differential equations with ABC-fractional derivative

In this paper, we establish the existence and uniqueness of solutions to nonlinear hybrid fractional differential equations within the Atangana-Baleanu-Caputo framework. Our analysis incorporates both linear and nonlinear perturbations. The proposed method relies on the nonlinear Leray-Schauder alternative in combination with Banach?s fixed-point theorem, ensuring a robust mathematical foundation. To illustrate the practical significance of our findings, we provide a concrete example that demonstrates their applicability.