Stability for Caputo Fractional Differential Systems
We introduce the notion of h-stability for fractional differential systems. Then we investigate the boundedness and h-stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov direct method. Furthermore, we give examples to illu...
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/631419 |
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author | Sung Kyu Choi Bowon Kang Namjip Koo |
author_facet | Sung Kyu Choi Bowon Kang Namjip Koo |
author_sort | Sung Kyu Choi |
collection | DOAJ |
description | We introduce the notion of h-stability for fractional differential systems. Then we investigate the boundedness and h-stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov direct method. Furthermore, we give examples to illustrate our results. |
format | Article |
id | doaj-art-43b5d9b52b2447a0835e41667302dcb3 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-43b5d9b52b2447a0835e41667302dcb32025-02-03T00:59:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/631419631419Stability for Caputo Fractional Differential SystemsSung Kyu Choi0Bowon Kang1Namjip Koo2Department of Mathematics, Chungnam National University, Daejeon 305-764, Republic of KoreaDepartment of Mathematics, Chungnam National University, Daejeon 305-764, Republic of KoreaDepartment of Mathematics, Chungnam National University, Daejeon 305-764, Republic of KoreaWe introduce the notion of h-stability for fractional differential systems. Then we investigate the boundedness and h-stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov direct method. Furthermore, we give examples to illustrate our results.http://dx.doi.org/10.1155/2014/631419 |
spellingShingle | Sung Kyu Choi Bowon Kang Namjip Koo Stability for Caputo Fractional Differential Systems Abstract and Applied Analysis |
title | Stability for Caputo Fractional Differential Systems |
title_full | Stability for Caputo Fractional Differential Systems |
title_fullStr | Stability for Caputo Fractional Differential Systems |
title_full_unstemmed | Stability for Caputo Fractional Differential Systems |
title_short | Stability for Caputo Fractional Differential Systems |
title_sort | stability for caputo fractional differential systems |
url | http://dx.doi.org/10.1155/2014/631419 |
work_keys_str_mv | AT sungkyuchoi stabilityforcaputofractionaldifferentialsystems AT bowonkang stabilityforcaputofractionaldifferentialsystems AT namjipkoo stabilityforcaputofractionaldifferentialsystems |