On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis

The main purpose of the paper is to study the qualitative theory of the solutions of a multi-point sequential Caputo–type p –Laplacian coupled system. The existence and uniqueness of the solution of the aforementioned system are studied with the help of fixed point theorems and properties of a p –La...

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Published inQualitative theory of dynamical systems Vol. 23; no. 3
Main Authors Waheed, Hira, Zada, Akbar, Popa, Ioan-Lucian, Etemad, Sina, Rezapour, Shahram
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2024
Springer Nature B.V
Subjects
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
Stability analysis
34B27
Multi-point conditions
Caputo sequential derivative
26A33
Fixed point theorems
Hyers–Ulam stability
Laplacian
34A08
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ISSN1575-5460
1662-3592
DOI10.1007/s12346-024-00988-z

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Summary:The main purpose of the paper is to study the qualitative theory of the solutions of a multi-point sequential Caputo–type p –Laplacian coupled system. The existence and uniqueness of the solution of the aforementioned system are studied with the help of fixed point theorems and properties of a p –Laplacian operator. Furthermore, the Hyers–Ulam stability and generalized Hyers–Ulam stability are also investigated. For the validity of the obtained results, an illustrative example is given.
Bibliography:ObjectType-Article-1
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ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-024-00988-z