Existence of a solution in the Holder space for a nonlinear functional integral equation

Existence of a solution in the Holder space for a nonlinear functional integral equation

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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 p...

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Main Authors: Dipankar Saha, Mausumi Sen, Nimai Sarkar, Subhankar Saha
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2020-08-01
Series:Armenian Journal of Mathematics
Subjects:
Functional integral equation
Fixed point theory
Holder space
Online Access:http://test.armjmath.sci.am/index.php/ajm/article/view/424
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spelling doaj-83a6be80cf384fdcb07ee5f6ea042b562021-04-24T16:14:04ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632020-08-01127Existence of a solution in the Holder space for a nonlinear functional integral equationDipankar Saha0Mausumi Sen1Nimai Sarkar2Subhankar Saha3National Institute of Technology, SilcharNational Institute of Technology, SilcharNational Institute of Technology, SilcharNational Institute of Technology, Silchar 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. http://test.armjmath.sci.am/index.php/ajm/article/view/424Functional integral equationFixed point theoryHolder space
collection DOAJ
language English
format Article
sources DOAJ
author Dipankar Saha
Mausumi Sen
Nimai Sarkar
Subhankar Saha
spellingShingle Dipankar Saha
Mausumi Sen
Nimai Sarkar
Subhankar Saha
Existence of a solution in the Holder space for a nonlinear functional integral equation
Armenian Journal of Mathematics
Functional integral equation
Fixed point theory
Holder space
author_facet Dipankar Saha
Mausumi Sen
Nimai Sarkar
Subhankar Saha
author_sort Dipankar Saha
title Existence of a solution in the Holder space for a nonlinear functional integral equation
title_short Existence of a solution in the Holder space for a nonlinear functional integral equation
title_full Existence of a solution in the Holder space for a nonlinear functional integral equation
title_fullStr Existence of a solution in the Holder space for a nonlinear functional integral equation
title_full_unstemmed Existence of a solution in the Holder space for a nonlinear functional integral equation
title_sort existence of a solution in the holder space for a nonlinear functional integral equation
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2020-08-01
description 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.
topic Functional integral equation
Fixed point theory
Holder space
url http://test.armjmath.sci.am/index.php/ajm/article/view/424
work_keys_str_mv AT dipankarsaha existenceofasolutionintheholderspaceforanonlinearfunctionalintegralequation
AT mausumisen existenceofasolutionintheholderspaceforanonlinearfunctionalintegralequation
AT nimaisarkar existenceofasolutionintheholderspaceforanonlinearfunctionalintegralequation
AT subhankarsaha existenceofasolutionintheholderspaceforanonlinearfunctionalintegralequation
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