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    Author(s)

    Dipankar Saha, PhD. Mausumi Sen — Academia (Universities, Colleges and other higher learning entities) (National Institute of Technology, Silchar), PhD. Nimai Sarkar — Academia (Universities, Colleges and other higher learning entities) (National Institute of Technology, Silchar), PhD. Subhankar Saha — Academia (Universities, Colleges and other higher learning entities) (National Institute of Technology, Silchar)
    Category: Mathematics
    DOI: 10.52737/18291163-2020.12.7-1-8
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      Existence of a solution in the Holder space for a nonlinear functional integral equation

      Dipankar Saha, PhD. Mausumi Sen — Academia (Universities, Colleges and other higher learning entities) (National Institute of Technology, Silchar), PhD. Nimai Sarkar — Academia (Universities, Colleges and other higher learning entities) (National Institute of Technology, Silchar), PhD. Subhankar Saha — Academia (Universities, Colleges and other higher learning entities) (National Institute of Technology, Silchar)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-09; Published: 2022-09-02
      © 2025 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      This article is entirely devoted to the application of the measure of noncompactness defined in the Holder space. Here the emphasis is on the study of the nonlinear functional integral equation with changed arguments. Precisely, the existence of a solution is obtained by employing the Darbo fixed point theorem under certain hypotheses. Finally, we provide a tangible example which supports our results.

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