@article{Nie2023, 
author = {Dongming Nie and Usman Riaz and Sumbel Begum and Akbar Zada},
title = {A coupled system of    p-Laplacian implicit fractional differential equations depending on boundary conditions of integral type},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {7},
pages = {16417-16445},
keywords = {p-Laplacian operator, coupled system of fractional differential equations, positive solutions, stability in the form of Ulam},
url = {https://www.sciopen.com/article/10.3934/math.2023839},
doi = {10.3934/math.2023839},
abstract = {The objective of this article is to investigate a coupled implicit Caputo fractional    p-Laplacian system, depending on boundary conditions of integral type, by the substitution method. The Avery-Peterson fixed point theorem is utilized for finding at least three solutions of the proposed coupled system. Furthermore,  different types of Ulam stability, i.e., Hyers-Ulam stability, generalized Hyers-Ulam stability, Hyers-Ulam-Rassias stability and generalized Hyers-Ulam-Rassias stability, are achieved. Finally, an example is provided to authenticate the theoretical result.}
}