Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative

Zerbib, Samira; Chefnaj, Najat; Hilal, Khalid; Kajouni, Ahmed

doi:10.22034/cmde.2024.61552.2665

Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative

Articles in Press

Document Type : Research Paper

Authors

Samira Zerbib
Najat Chefnaj
Khalid Hilal
Ahmed Kajouni

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

10.22034/cmde.2024.61552.2665

Abstract

In this paper, we investigate the existence of solutions for hybrid p-Laplacian differential equations involving the generalized fractional proportional Caputo derivative with an order $1<\vartheta<2$, employing Schauder's fixed point theorem. To illustrate the practical application of our findings, we provide a concrete example.

Keywords