New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems

Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to certain impulsive fractional differential syste...

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Main Author:	Jing Shao
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/2014/252946

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record_format	Article
spelling	doaj-855a5383829d42e7a626367937cc8a932020-11-25T00:29:49ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/252946252946New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential SystemsJing Shao0Department of Mathematics, Jining University, Qufu, Shandong 273155, ChinaSome new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to certain impulsive fractional differential systems.http://dx.doi.org/10.1155/2014/252946
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jing Shao
spellingShingle	Jing Shao New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems Journal of Applied Mathematics
author_facet	Jing Shao
author_sort	Jing Shao
title	New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems
title_short	New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems
title_full	New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems
title_fullStr	New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems
title_full_unstemmed	New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems
title_sort	new integral inequalities with weakly singular kernel for discontinuous functions and their applications to impulsive fractional differential systems
publisher	Hindawi Limited
series	Journal of Applied Mathematics
issn	1110-757X 1687-0042
publishDate	2014-01-01
description	Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag-Leffler function, which can be used in the qualitative analysis of the solutions to certain impulsive fractional differential systems.
url	http://dx.doi.org/10.1155/2014/252946
work_keys_str_mv	AT jingshao newintegralinequalitieswithweaklysingularkernelfordiscontinuousfunctionsandtheirapplicationstoimpulsivefractionaldifferentialsystems
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New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems

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