On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives

• Alam, Mehboob ^[1] ; Zada, Akbar ^[1] ; Riaz, Usman ^[1]
  1. [1] University of Peshawar

     University of Peshawar

     Pakistán

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
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• Resumen

  • The main intention of the present research study is focused on the analysis of coupled impulsive fractional integrodifferential system having Hadamard derivatives. With the help of fixed point theorem attributed to Krasnoselskii’s, we investigate desired existence and uniqueness results. Moreover, we present different kinds of stability such as Hyers–Ulam stability, generalized Hyers–Ulam stability, Hyers–Ulam–Rassias stability, and generalized Hyers–Ulam–Rassias stability using the classical technique of functional analysis. Next, an example is designed to examine our findings based on the procedures applied in the theorems.