$Some new weakly singular integral inequalities and their applications to fractional differential equations$

Some new weakly singular integral inequalities and their applications to fractional differential equations

Abstract Some new inequalities with weakly singular integral kernel are developed, which generalize some known inequalities and can be used in the qualitative and quantitative analysis of the solutions to certain fractional differential equations.

Bibliographic Details
Main Authors:	Run Xu, Fanwei Meng
Format:	Article
Language:	English
Published:	SpringerOpen 2016-02-01
Series:	Journal of Inequalities and Applications
Subjects:	inequality weakly singular integral kernel fractional differential and integral equation quantitative analysis
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1015-2

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spelling	doaj-2a44fa84f71e40bf9ee7a6b1cdb862712020-11-24T21:10:47ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-02-012016111610.1186/s13660-016-1015-2Some new weakly singular integral inequalities and their applications to fractional differential equationsRun Xu0Fanwei Meng1Department of Mathematics, Qufu Normal UniversityDepartment of Mathematics, Qufu Normal UniversityAbstract Some new inequalities with weakly singular integral kernel are developed, which generalize some known inequalities and can be used in the qualitative and quantitative analysis of the solutions to certain fractional differential equations.http://link.springer.com/article/10.1186/s13660-016-1015-2inequalityweakly singular integral kernelfractional differential and integral equationquantitative analysis
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Run Xu Fanwei Meng
spellingShingle	Run Xu Fanwei Meng Some new weakly singular integral inequalities and their applications to fractional differential equations Journal of Inequalities and Applications inequality weakly singular integral kernel fractional differential and integral equation quantitative analysis
author_facet	Run Xu Fanwei Meng
author_sort	Run Xu
title	Some new weakly singular integral inequalities and their applications to fractional differential equations
title_short	Some new weakly singular integral inequalities and their applications to fractional differential equations
title_full	Some new weakly singular integral inequalities and their applications to fractional differential equations
title_fullStr	Some new weakly singular integral inequalities and their applications to fractional differential equations
title_full_unstemmed	Some new weakly singular integral inequalities and their applications to fractional differential equations
title_sort	some new weakly singular integral inequalities and their applications to fractional differential equations
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-02-01
description	Abstract Some new inequalities with weakly singular integral kernel are developed, which generalize some known inequalities and can be used in the qualitative and quantitative analysis of the solutions to certain fractional differential equations.
topic	inequality weakly singular integral kernel fractional differential and integral equation quantitative analysis
url	http://link.springer.com/article/10.1186/s13660-016-1015-2
work_keys_str_mv	AT runxu somenewweaklysingularintegralinequalitiesandtheirapplicationstofractionaldifferentialequations AT fanweimeng somenewweaklysingularintegralinequalitiesandtheirapplicationstofractionaldifferentialequations
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Some new weakly singular integral inequalities and their applications to fractional differential equations

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