On a new variant of cyclic (noncyclic) condensing operators with existence of optimal solutions to an FDE

Abstract The paper is designed to highlight the presence of an optimal solution to a differential system comprising fractional order derivatives, precisely the ψ-Caputo derivative, under the prescribed initial constraints. This is attained through a new variant of cyclic (noncyclic) condensing opera...

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Bibliographic Details
Published inJournal of applied analysis
Main Authors Khokhar, Gurpreet Kaur, Gabeleh, Moosa, Patel, Deepesh Kumar
Format Journal Article
LanguageEnglish
Published 24.04.2024
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Summary:Abstract The paper is designed to highlight the presence of an optimal solution to a differential system comprising fractional order derivatives, precisely the ψ-Caputo derivative, under the prescribed initial constraints. This is attained through a new variant of cyclic (noncyclic) condensing operators incorporating a pair of maps. The altered notion facilitates in evolving best proximity point (pair) results as well as coupled best proximity point results with supportive corollaries.
ISSN:1425-6908
1869-6082
DOI:10.1515/jaa-2023-0159