Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems
This paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new constructive results have been established in...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/8476285 |
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| _version_ | 1832563533665009664 |
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| author | Danfeng Luo Zhiguo Luo |
| author_facet | Danfeng Luo Zhiguo Luo |
| author_sort | Danfeng Luo |
| collection | DOAJ |
| description | This paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new constructive results have been established in the literature. As an application, two typical examples are delineated to demonstrate the effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-f4482e5fd5a14f9fa2dd2d231c34664e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f4482e5fd5a14f9fa2dd2d231c34664e2025-02-03T01:20:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/84762858476285Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference SystemsDanfeng Luo0Zhiguo Luo1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartment of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaThis paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new constructive results have been established in the literature. As an application, two typical examples are delineated to demonstrate the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2018/8476285 |
| spellingShingle | Danfeng Luo Zhiguo Luo Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems Discrete Dynamics in Nature and Society |
| title | Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems |
| title_full | Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems |
| title_fullStr | Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems |
| title_full_unstemmed | Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems |
| title_short | Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems |
| title_sort | uniqueness and novel finite time stability of solutions for a class of nonlinear fractional delay difference systems |
| url | http://dx.doi.org/10.1155/2018/8476285 |
| work_keys_str_mv | AT danfengluo uniquenessandnovelfinitetimestabilityofsolutionsforaclassofnonlinearfractionaldelaydifferencesystems AT zhiguoluo uniquenessandnovelfinitetimestabilityofsolutionsforaclassofnonlinearfractionaldelaydifferencesystems |