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.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.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.relation.ispartof | Advances in Difference Equations | |
| 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 |
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| 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 | |
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| 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 | |
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| 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 |
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| gdc.oaire.keywords | Evolutionary biology | |
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| gdc.oaire.keywords | α-ψ-contractions | |
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| gdc.oaire.keywords | contractions | |
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