Stability Analysis of Impulsive Fractional Difference Equations
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2020-03-30T07:32:44Z | |
| dc.date.accessioned | 2025-09-18T13:27:06Z | |
| dc.date.available | 2020-03-30T07:32:44Z | |
| dc.date.available | 2025-09-18T13:27:06Z | |
| dc.date.issued | 2018 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | We revisit motivation of the fractional difference equations and some recent applications to image encryption. Then stability of impulsive fractional difference equations is investigated in this paper. The fractional sum equation is considered and impulsive effects are introduced into discrete fractional calculus. A class of impulsive fractional difference equations are proposed. A discrete comparison principle is given and asymptotic stability of nonlinear fractional difference equation are discussed. Finally, an impulsive Mittag-Leffler stability is defined. The numerical result is provided to support the analysis. | en_US |
| dc.description.sponsorship | Sichuan Science and Technology Support Program [2018JY0120]; China Postdoctoral Science Foundation [2016M602632] | en_US |
| dc.description.sponsorship | This study was financially supported by Sichuan Science and Technology Support Program (Grant No. 2018JY0120) and China Postdoctoral Science Foundation (Grant No. 2016M602632). | en_US |
| dc.identifier.citation | Wu, Guo-Cheng; Baleanu, Dumitru, "Stability Analysis of Impulsive Fractional Difference Equations" Fractıonal Calculus and Applied Analysis, Vol. 21, No. 2, pp. 354-375, (2018) | en_US |
| dc.identifier.doi | 10.1515/fca-2018-0021 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.issn | 1314-2224 | |
| dc.identifier.scopus | 2-s2.0-85048855816 | |
| dc.identifier.uri | https://doi.org/10.1515/fca-2018-0021 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12828 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | en_US |
| dc.relation.ispartof | Fractional Calculus and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Impulsive Fractional Difference Equations | en_US |
| dc.subject | Comparison Principle | en_US |
| dc.subject | Asymptotic Stability | en_US |
| dc.subject | Mittag-Leffler Stability | en_US |
| dc.subject | Discrete-Time Control | en_US |
| dc.title | Stability Analysis of Impulsive Fractional Difference Equations | en_US |
| dc.title | Stability Analysis of Impulsive Fractional Difference Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Jiangsu, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Balgat, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 375 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 354 | en_US |
| gdc.description.volume | 21 | en_US |
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| gdc.oaire.keywords | asymptotic stability | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Stability theory for difference equations | |
| gdc.oaire.keywords | impulsive fractional difference equation | |
| gdc.oaire.keywords | comparison principle | |
| gdc.oaire.keywords | Mittag-Leffler stability | |
| gdc.oaire.keywords | discrete-time control | |
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