On the non-local $ \varphi $-Hilfer hybrid fractional differential equations: an existence study

Zerbib, Samira; Hilal, Khalid; Kajouni, Ahmed

doi:10.22034/cmde.2025.63952.2874

On the non-local $ \varphi $-Hilfer hybrid fractional differential equations: an existence study

Document Type : Research Paper

Authors

LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco.

10.22034/cmde.2025.63952.2874

Abstract

In this paper, we examine the existence of solutions for a hybrid fractional differential equation involving the $\varphi$-Hilfer derivative with a non-local condition. First, we establish the equivalence between our problem and an integral equation. Then, we utilize Dhage's renowned fixed-point theorem to prove the existence of solutions. Finally, we present an illustrative example to validate our results.

Keywords

Main Subjects

Fractional derivatives and integrals

References

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