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

نویسندگان
Chefnaj, Najat ID 1
Hilal, Khalid ID 2
Zerbib, Samira ID 3
Kajouni, Ahmed ID 4

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

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

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

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

doi
10.22034/cmde.2024.61552.2665
چکیده

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

کلیدواژه‌ها
Generalized Caputo proportional fractional derivative, Hybrid differential equation, P-Laplacian operator, Schauder’s fixed point theorem