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

Hira Waheed; Akbar Zada; Ioan Lucian Popa; Sina Etemad; Shahram Rezapour

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

Hira Waheed ^[1] ; Akbar Zada ^[1] ; Ioan-Lucian Popa ^[2] ; Sina Etemad ^[3] ; Shahram Rezapour ^[4]
1. [1] University of Peshawar
  
  University of Peshawar
  
  Pakistán
2. [2] University of Alba Iulia & Transilvania University of Braso
3. [3] Azarbaijan Shahid Madani University & Al-Ayen University&
4. [4] Azarbaijan Shahid Madani University & China Medical University Hospital China Medical University
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Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
Idioma: inglés
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Resumen
- 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.
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