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On Solutions of Fractional Multi-Term Sequential Problems Via Some Special Categories of Functions and (aep)-Property

dc.contributor.author Iqbal, Muhammad Qamar
dc.contributor.author Hussain, Azhar
dc.contributor.author Etemad, Sina
dc.contributor.author Rezapour, Shahram
dc.contributor.author Baleanu, Dumitru
dc.contributor.authorID 56389 tr_TR
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2022-11-10T12:06:58Z
dc.date.accessioned 2025-09-18T16:06:54Z
dc.date.available 2022-11-10T12:06:58Z
dc.date.available 2025-09-18T16:06:54Z
dc.date.issued 2021
dc.description Etemad, Sina/0000-0002-1574-1800; Rezapour, Shahram/0000-0003-3463-2607; Hussain, Azhar/0000-0003-4501-9269 en_US
dc.description.abstract The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an approach, we do our research on a fractional integral equation corresponding to the mentioned BVPs. In more precise words, by virtue of this integral equation, we construct new operators which belong to a special category of functions named alpha-admissible and alpha-psi-contraction maps coupled with operators having (AEP)-property. Next, by considering some new properties on the existing Banach space having properties (B) and (C-alpha), our argument for ensuring the existence of solutions is completed. In addition, we also add two simulative examples to review our findings by a numerical view. en_US
dc.description.publishedMonth 12
dc.description.sponsorship Azarbaijan Shahid Madani University en_US
dc.description.sponsorship The fourth and fifth authors were supported by Azarbaijan Shahid Madani University. The authors express their gratitude to dear unknown referees for their helpful suggestions which improved the final version of this paper. en_US
dc.identifier.citation Baleanu, Dumitru...et al. (2021). "On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property", Advances in Difference Equations, Vol. 2021, No. 1. en_US
dc.identifier.doi 10.1186/s13662-021-03356-2
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85104019210
dc.identifier.uri https://doi.org/10.1186/s13662-021-03356-2
dc.identifier.uri https://hdl.handle.net/20.500.12416/14624
dc.language.iso en en_US
dc.publisher Springer en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Alpha-Admissible Mappings en_US
dc.subject Alpha-Psi-Contractions en_US
dc.subject (Aep)-Property en_US
dc.subject Existence Criterion en_US
dc.subject The Sequential Operator en_US
dc.title On Solutions of Fractional Multi-Term Sequential Problems Via Some Special Categories of Functions and (aep)-Property en_US
dc.title On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Etemad, Sina/0000-0002-1574-1800
gdc.author.id Rezapour, Shahram/0000-0003-3463-2607
gdc.author.id Hussain, Azhar/0000-0003-4501-9269
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 7005872966
gdc.author.scopusid 59082842100
gdc.author.scopusid 59033031400
gdc.author.scopusid 56594607200
gdc.author.scopusid 55935081600
gdc.author.wosid Etemad, Sina/Aav-8100-2021
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Hussain, Azhar/K-8141-2019
gdc.author.wosid Rezapour, Shahram/N-4883-2016
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Iqbal, Muhammad Qamar; Hussain, Azhar] Univ Sarogodha, Dept Math, Sarogodha 40100, Pakistan; [Etemad, Sina; Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2021 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W3165029486
gdc.identifier.wos WOS:000638020000003
gdc.openalex.fwci 1.10969559
gdc.openalex.normalizedpercentile 0.8
gdc.opencitations.count 3
gdc.plumx.scopuscites 4
gdc.scopus.citedcount 4
gdc.wos.citedcount 4
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