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BVP for generalized Hilfer integrodifferential equation with positive constant coefficient

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Abstract

In this paper, we investigate the existence and uniqueness of solutions for a new class of integrodifferential equation boundary value problems (BVPs) involving generalized Hilfer type. Initially, we examine the scalar scenario in which the uniqueness is proved using Banach’s fixed point theorem, and the existence results are established via the Leray–Schauder nonlinear alternative. Subsequently, we discuss the stability results of the specified problem. Several examples are presented to illustrate the main findings.

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Authors and Affiliations

  1. Department of Mathematics, Maulana Azad College research center, Dr. Babasaheb Ambedkar Marathwada University Aurangabad, Aurangabad, India

    Mohammed N. Alkord

  2. Department of Mathematics, Maulana Azad College of Arts and Science, RozaBagh, Aurangabad, India

    Sadikali L. Shaikh

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  1. Mohammed N. Alkord
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  2. Sadikali L. Shaikh
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Correspondence to Mohammed N. Alkord.

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Alkord, M.N., Shaikh, S.L. BVP for generalized Hilfer integrodifferential equation with positive constant coefficient. Int. J. Dynam. Control 12, 107–114 (2024). https://doi.org/10.1007/s40435-023-01325-z

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  • DOI: https://doi.org/10.1007/s40435-023-01325-z

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