University of Tabriz Computational Methods for Differential Equations 2345-3982 13 4 2025 10 01 Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative 1367 1375 18556 10.22034/cmde.2024.61552.2665 EN Samira Zerbib LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco. Najat Chefnaj LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco. Khalid Hilal LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco. Ahmed Kajouni LMACS Laboratory, Sultan Moulay Slimane University, Beni Mellal, Morocco. Journal Article 2024 05 06 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 Generalized Caputo proportional fractional derivative Hybrid differential equation P-Laplacian operator Schauder’s fixed point theorem https://cmde.tabrizu.ac.ir/article_18556_018867e3cab684f9f2e9738656c19c79.pdf