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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Main Authors: Sung Kyu Choi, Bowon Kang, Namjip Koo
Format: Article
Language:English
Published: Wiley 2014-01-01
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
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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