On the Stability of Some Discrete Fractional Nonautonomous Systems
Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are discussed.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/476581 |
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| _version_ | 1832562756967989248 |
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| author | Fahd Jarad Thabet Abdeljawad Dumitru Baleanu Kübra Biçen |
| author_facet | Fahd Jarad Thabet Abdeljawad Dumitru Baleanu Kübra Biçen |
| author_sort | Fahd Jarad |
| collection | DOAJ |
| description | Using the Lyapunov direct method, the stability of
discrete nonautonomous systems within the frame of the Caputo fractional
difference is studied. The conditions for uniform stability, uniform
asymptotic stability, and uniform global stability are discussed. |
| format | Article |
| id | doaj-art-a480e22ac4c240118c96b39049b0d027 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a480e22ac4c240118c96b39049b0d0272025-02-03T01:21:48ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/476581476581On the Stability of Some Discrete Fractional Nonautonomous SystemsFahd Jarad0Thabet Abdeljawad1Dumitru Baleanu2Kübra Biçen3Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, TurkeyDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, TurkeyDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, TurkeyDepartment of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 06530 Ankara, TurkeyUsing the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are discussed.http://dx.doi.org/10.1155/2012/476581 |
| spellingShingle | Fahd Jarad Thabet Abdeljawad Dumitru Baleanu Kübra Biçen On the Stability of Some Discrete Fractional Nonautonomous Systems Abstract and Applied Analysis |
| title | On the Stability of Some Discrete Fractional Nonautonomous Systems |
| title_full | On the Stability of Some Discrete Fractional Nonautonomous Systems |
| title_fullStr | On the Stability of Some Discrete Fractional Nonautonomous Systems |
| title_full_unstemmed | On the Stability of Some Discrete Fractional Nonautonomous Systems |
| title_short | On the Stability of Some Discrete Fractional Nonautonomous Systems |
| title_sort | on the stability of some discrete fractional nonautonomous systems |
| url | http://dx.doi.org/10.1155/2012/476581 |
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