Existence and Uniqueness of the Solution for the Hilfer Fuzzy Fractional Integrodifferential Equation Via Resolvent Operators

• A. Priyadharshini ^[1] ; K. Jothimani ^[2] ; V. Vijayakumar ^[1]
  1. [1] Vellore Institute of Technology
  2. [2] Visalakshi College for Women
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 1, 2025
• Idioma: inglés
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• Resumen

  • In this article, we discuss the existence and uniqueness theorems for non-linear Hilfer fuzzy fractional integrodifferential equations via resolvent operators are investigated.

    We define the resolvent operator associated with A-monotone operators and prove its Lipschitz continuity. We also employ the Banach fixed point theorem and Krasnoselskii’s fixed point theorem to obtain existence and uniqueness of solutions. Finally, we provide an illustrative example to demonstrate the main results.