Existence Results for a Class of $\psi$-Hilfer Fractional Hybrid Differential Equations

Abstract

This study investigates the existence and uniform local attractiveness of solutions for a class of fractional $\psi$-Hilfer hybrid differential equations within Banach algebras. Utilizing advanced hybrid fixed-point theory, we derive results that not only establish conditions for the existence of solutions but also demonstrate their uniform local attractiveness. Our findings offer valuable insights into the behavior of these fractional differential equations and provide a solid theoretical foundation for future research and applications in this field.