Armenian Journal of Mathematics, 12(7)
2022; 1–8
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Existence of a solution in the Holder space for a nonlinear functional integral equation

Dipankar Saha*, Mausumi Sen, Nimai Sarkar, Subhankar Saha

Received: 2024-12-10 · Published: 2022-09-02

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Existence of a solution in the Holder space for a nonlinear functional integral equation
Authors
Dipankar Saha, Mausumi Sen, Nimai Sarkar, Subhankar Saha
Source journal
Armenian Journal of Mathematics, 12(7)
Published
2022-09-02
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2020.12.7-1-8

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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