Mild Solutions for Neutral Conformable Fractional Order Functional Evolution Equations Using Meir-Keeler Type Fixed Point Theorem

dc.contributor.author Berrighi, F.
dc.contributor.author Medjadj, I.
dc.contributor.author Karapınar, E.
dc.date.accessioned 2026-02-05T19:59:23Z
dc.date.available 2026-02-05T19:59:23Z
dc.date.issued 2025
dc.description.abstract Our mission is to demonstrate the existence, uniqueness, attractiveness, and controllability of mild solutions to neutral conformable fractional-order functional evolution equations, specifically of order between 1 and 2. These intriguing equations encompass finite delay, all while adhering to local conditions within a separable Banach space. By invoking Meir-Keeler’s fixed-point Theorem and enhancing it with measures of noncompactness, we establish the existence of these solutions. To highlight the potency of our approach, we present a captivating example. © 2025, Politechnica University of Bucharest. All rights reserved. en_US
dc.identifier.issn 1223-7027
dc.identifier.scopus 2-s2.0-105026443352
dc.identifier.uri https://hdl.handle.net/20.500.14411/11158
dc.language.iso en en_US
dc.publisher Politechnica University of Bucharest en_US
dc.relation.ispartof University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Condensing Operator en_US
dc.subject Conformable Frac-Tional en_US
dc.subject Finite Delay en_US
dc.subject Fixed Point en_US
dc.subject Infinite Delay en_US
dc.subject Measure of Noncompactness en_US
dc.subject Mild Solution en_US
dc.subject Neutral Functional Differential Equation en_US
dc.title Mild Solutions for Neutral Conformable Fractional Order Functional Evolution Equations Using Meir-Keeler Type Fixed Point Theorem en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.scopusid 59702489600
gdc.author.scopusid 55960761500
gdc.author.scopusid 16678995500
gdc.description.department Atılım University en_US
gdc.description.departmenttemp [Berrighi] Fatma, Université des Sciences et de la Technologie d’Oran Mohamed-Boudiaf, Oran, Oran Province, Algeria; [Medjadj] Imene, Université des Sciences et de la Technologie d’Oran Mohamed-Boudiaf, Oran, Oran Province, Algeria; [Karapńar] Erdal, Department of Mathematics, Atilim University, Ankara, Turkey, Department of Medical Research, China Medical University Hospital, Taichung, Taiwan en_US
gdc.description.endpage 138 en_US
gdc.description.issue 4 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 127 en_US
gdc.description.volume 87 en_US
gdc.description.wosquality Q4
gdc.index.type Scopus
gdc.scopus.citedcount 0
gdc.virtual.author Karapınar, Erdal
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