Discrete Fractional Calculus for Interval-Valued Systems
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Wang, Hong-Yong | |
| dc.contributor.author | Huang, Lan-Lan | |
| 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 | 2022-04-06T11:21:02Z | |
| dc.date.accessioned | 2025-09-18T12:06:14Z | |
| dc.date.available | 2022-04-06T11:21:02Z | |
| dc.date.available | 2025-09-18T12:06:14Z | |
| dc.date.issued | 2021 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | This study investigates linear fractional difference equations with respect to interval-valued functions. Caputo and Riemann-Liouville differences are defined. w-monotonicity is introduced and discrete Leibniz integral laws are provided. Then exact solutions of two linear equations are obtained by Picard's iteration. In comparison with the deterministic initial problems, the solutions are given in discrete Mittag-Leffler functions with and without delay, respectively. This paper provides a novel tool to understand fractional uncertainty problems on discrete time domains. (C) 2020 Elsevier B.V. All rights reserved. | en_US |
| dc.description.publishedMonth | 2 | |
| dc.description.sponsorship | Sichuan Science and Technology Support Program [2017JY0199, 2018JY0120]; Scientific and Technological Research Council of Turkey (TUBTAK) [TBAG-117F473] | en_US |
| dc.description.sponsorship | This study was financially supported by Sichuan Science and Technology Support Program (Grant Nos. 2017JY0199 and 2018JY0120). Dumitru Baleanu is supported by the Scientific and Technological Research Council of Turkey (TUBTAK) (Grant No. TBAG-117F473). | en_US |
| dc.identifier.citation | Huang, Lan-Lan...et al. (2021). "Discrete fractional calculus for interval-valued systems", Fuzzy Sets and Systems, Vol. 404, pp. 141-158. | en_US |
| dc.identifier.doi | 10.1016/j.fss.2020.04.008 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.issn | 1872-6801 | |
| dc.identifier.scopus | 2-s2.0-85083527866 | |
| dc.identifier.uri | https://doi.org/10.1016/j.fss.2020.04.008 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/10849 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Difference Equations | en_US |
| dc.subject | Interval-Valued Functions | en_US |
| dc.subject | Discrete Fractional Calculus | en_US |
| dc.title | Discrete Fractional Calculus for Interval-Valued Systems | en_US |
| dc.title | Discrete fractional calculus for interval-valued systems | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 56141860200 | |
| gdc.author.scopusid | 23390775700 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 10139871800 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Huang, Lan-Lan; Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Wang, Hong-Yong] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210046, Peoples R China | en_US |
| gdc.description.endpage | 158 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 141 | en_US |
| gdc.description.volume | 404 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3017143334 | |
| gdc.identifier.wos | WOS:000589573200007 | |
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| gdc.openalex.normalizedpercentile | 0.99 | |
| gdc.openalex.toppercent | TOP 1% | |
| gdc.opencitations.count | 60 | |
| gdc.plumx.crossrefcites | 65 | |
| gdc.plumx.mendeley | 6 | |
| gdc.plumx.scopuscites | 73 | |
| gdc.scopus.citedcount | 73 | |
| gdc.wos.citedcount | 66 | |
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