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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/252946 |
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| _version_ | 1832554230451273728 |
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| author | Jing Shao |
| author_facet | Jing Shao |
| author_sort | Jing Shao |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-855a5383829d42e7a626367937cc8a93 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-855a5383829d42e7a626367937cc8a932025-02-03T05:52:02ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/252946 |
| work_keys_str_mv | AT jingshao newintegralinequalitieswithweaklysingularkernelfordiscontinuousfunctionsandtheirapplicationstoimpulsivefractionaldifferentialsystems |