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.