Stability Analysis, Existence and Uniqueness of Solutions for a Fractional Conformable P-Laplacian Coupled Boundary Value Problem on the Disilane Graph

Abstract

Disilane is an important inorganic compound, which is widely used in many fields. This study first focuses on investigating the existence and uniqueness of solutions to fractional conformable coupled boundary value problem with the p-Laplacian operator on the disilane graph. The fixed point theorem is used to analyze these results. Additionally, the study also discusses the Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability of the given problem. At the end of this paper, some examples are presented to illustrate the obtained theorems.