Analysis of Abstract Partial Impulsive Integro-Differential System with Delay via Integrated Resolvent Operator

• Ishfaq Khan ^[1] ; Akbar Zada ^[1]
  1. [1] University of Peshawar

     University of Peshawar

     Pakistán

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
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• Resumen

  • In this manuscript, we employ integrated resolvent operator to derive the variation of constants formula for the solution of the impulsive integro-differential system, in nonlocal domain with finite delay function. Using the Banach fixed point theorem and integrated resolvent operator, we explore the existence of mild solution of the aforementioned system. Additionally, we establish the Hyers–Ulam stability of the system. Finally, the main result is illustrated with the help of an example.