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

Year 2024, Volume: 16 Issue: 2, 450 - 462, 31.12.2024

Ayoub Louakar , Lmou Hamid , Ahmed Kajounı , Khalid Hilal

https://doi.org/10.47000/tjmcs.1491105

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.

Keywords

$\psi$-Hilfer fractional derivative, uniformly locally attractive, hybrid fixed-point theory, fractional differential equation

Ethical Statement

Not applicable

Supporting Institution

No funding supporting.

Thanks

The authors appreciate the referee’s thoughtful comments on the manuscript, which helped to improve it.

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