Stability Analysis of Caputo-Like Discrete Fractional Systems
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.author | Bai, Yun-Ru | |
| dc.contributor.author | Chen, Fu-Lai | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2018-10-10T15:11:49Z | |
| dc.date.accessioned | 2025-09-18T12:49:00Z | |
| dc.date.available | 2018-10-10T15:11:49Z | |
| dc.date.available | 2025-09-18T12:49:00Z | |
| dc.date.issued | 2017 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | This study investigates stability of Caputo delta fractional difference equations. Solutions' monotonicity and asymptotic stability of a linear fractional difference equation are discussed. A stability theorem for a discrete fractional Lyapunov direct method is proved. Furthermore, an inequality is extended from the continuous case and a sufficient condition is given. Some linear, nonlinear and time varying examples are illustrated and the results show wide prospects of the stability theorems in fractional control systems of discrete time. (C) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Sichuan Provincial Education Department [14CZ0026]; Construct Program of the Key Discipline in Hunan Province | en_US |
| dc.description.sponsorship | The study was supported by Sichuan Provincial Education Department (14CZ0026), and the Construct Program of the Key Discipline in Hunan Province. | en_US |
| dc.identifier.citation | Baleanu, D..., [et.al.]. (2017). Stability analysis of Caputo-like discrete fractional systems. Communications In Nonlinear Science And Numerical Simulation, 48,520-530.http://dx.doi.org/ 10.1016/j.cnsns.2017.01.002 | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2017.01.002 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-85010408561 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2017.01.002 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12223 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Difference Equations | en_US |
| dc.subject | Monotonicity | en_US |
| dc.subject | Asymptotic Stability | en_US |
| dc.subject | Caputo-Like Delta Difference | en_US |
| dc.title | Stability Analysis of Caputo-Like Discrete Fractional Systems | en_US |
| dc.title | Stability analysis of Caputo-like discrete fractional systems | tr_TR |
| dc.type | Article | en_US |
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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 | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Wu, Guo-Cheng; Bai, Yun-Ru] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Chen, Fu-Lai] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China | en_US |
| gdc.description.endpage | 530 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 520 | en_US |
| gdc.description.volume | 48 | en_US |
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| gdc.oaire.keywords | asymptotic stability | |
| gdc.oaire.keywords | fractional difference equations | |
| gdc.oaire.keywords | Caputo-like delta difference | |
| gdc.oaire.keywords | Stability theory for difference equations | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Growth, boundedness, comparison of solutions to difference equations | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
| gdc.oaire.keywords | monotonicity | |
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