Existence and Controllability of a Class of Non-autonomous Nonlinear Evolution Fractional Integrodifferential Equations with Delay

• Kamla Kant Mishra ^[2] ; Shruti Dubey ^[2] ; Dumitru Baleanu ^[1]
  1. [1] Lebanese American University

     Lebanese American University

     Líbano

     
  2. [2] Indian Institute of Technology, Madras
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 4, 2022
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this article, we investigate the existence of mild solutions and the controllability of a class of nonlinear fractional evolution integrodifferential equations in Banach spaces.

    To reach the conclusions, the Banach contraction mapping principle, the measure of noncompactness, the theory of resolvent operators, and the fixed point theorems are used. Finally, three instances are presented to show the efficacy of the proposed outcomes.

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