Lyapunov Functions for Riemann-Liouville Fractional Difference Equations
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Luo, Wei-Hua | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2020-03-03T10:36:14Z | |
| dc.date.accessioned | 2025-09-18T12:06:43Z | |
| dc.date.available | 2020-03-03T10:36:14Z | |
| dc.date.available | 2025-09-18T12:06:43Z | |
| dc.date.issued | 2017 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | Discrete memory effects are introduced by fractional difference operators. Asymptotic stabilities of nonlinear fractional difference equations are investigated in this paper. A linear scalar fractional difference equality is utilized. Lyapunov second direct method is proposed for nonlinear discrete fractional systems. Asymptotic stability conditions are provided and some examples are given. (C) 2017 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | China Postdoctoral Science Foundation [2016M602632]; Innovative Team Program of Sichuan Provincial Universities [13TD0001]; NSFC [11301257] | en_US |
| dc.description.sponsorship | The first author was supported by the China Postdoctoral Science Foundation (Grant no. 2016M602632), the Innovative Team Program of Sichuan Provincial Universities (Grant no. 13TD0001) and the NSFC (Grant no. 11301257). Authors feel grateful to the referees' kind suggestions to improve this paper. | en_US |
| dc.identifier.citation | Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua, "Lyapunov functions for Riemann-Liouville-like fractional difference equations", Applied Mathematics And Computation, Vol.314, pp.228-236, (2017). | en_US |
| dc.identifier.doi | 10.1016/j.amc.2017.06.019 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-85024406486 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2017.06.019 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10961 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Asymptotic Stability | en_US |
| dc.subject | Fractional Difference Equations | en_US |
| dc.subject | Lyaupunov Direct Method | en_US |
| dc.title | Lyapunov Functions for Riemann-Liouville Fractional Difference Equations | en_US |
| dc.title | Lyapunov functions for Riemann-Liouville-like 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.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng; Luo, Wei-Hua] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 236 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 228 | en_US |
| gdc.description.volume | 314 | en_US |
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| gdc.oaire.keywords | asymptotic stability | |
| gdc.oaire.keywords | fractional difference equations | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Lyapunov direct method | |
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