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

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...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 23; no. 5
Main Authors Wang, Guotao, Yuan, Hualei, Baleanu, Dumitru
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.11.2024
Springer Nature B.V
Subjects
Boundary value problems
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Fixed points (mathematics)
Inorganic compounds
Mathematics
Mathematics and Statistics
Stability analysis
Theorems
Uniqueness
Disilane graph
Ulam stability
Fractional conformable derivative
Existence and uniqueness
Laplacian operator
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Summary: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-024-01076-y