Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications

Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications

Abstract In this paper, we present some new Volterra-Fredholm-type discrete fractional sum inequalities. These inequalities can be used as handy and powerful tools in the study of certain fractional sum-difference equations. Some applications are also presented to illustrate the usefulness of our re...

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Bibliographic Details
Main Authors: Haidong Liu, Fanwei Meng
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
discrete fractional sum inequality
Volterra-Fredholm type
fractional sum-difference equation
boundedness
Online Access:http://link.springer.com/article/10.1186/s13660-016-1152-7
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spelling doaj-4974dddc202f41f6adf5b65b558f66952020-11-25T00:49:16ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-09-012016111610.1186/s13660-016-1152-7Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applicationsHaidong Liu0Fanwei Meng1School of Mathematical Sciences, Qufu Normal UniversitySchool of Mathematical Sciences, Qufu Normal UniversityAbstract In this paper, we present some new Volterra-Fredholm-type discrete fractional sum inequalities. These inequalities can be used as handy and powerful tools in the study of certain fractional sum-difference equations. Some applications are also presented to illustrate the usefulness of our results.http://link.springer.com/article/10.1186/s13660-016-1152-7discrete fractional sum inequalityVolterra-Fredholm typefractional sum-difference equationboundedness
collection DOAJ
language English
format Article
sources DOAJ
author Haidong Liu
Fanwei Meng
spellingShingle Haidong Liu
Fanwei Meng
Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
Journal of Inequalities and Applications
discrete fractional sum inequality
Volterra-Fredholm type
fractional sum-difference equation
boundedness
author_facet Haidong Liu
Fanwei Meng
author_sort Haidong Liu
title Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
title_short Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
title_full Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
title_fullStr Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
title_full_unstemmed Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
title_sort some new generalized volterra-fredholm type discrete fractional sum inequalities and their applications
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2016-09-01
description Abstract In this paper, we present some new Volterra-Fredholm-type discrete fractional sum inequalities. These inequalities can be used as handy and powerful tools in the study of certain fractional sum-difference equations. Some applications are also presented to illustrate the usefulness of our results.
topic discrete fractional sum inequality
Volterra-Fredholm type
fractional sum-difference equation
boundedness
url http://link.springer.com/article/10.1186/s13660-016-1152-7
work_keys_str_mv AT haidongliu somenewgeneralizedvolterrafredholmtypediscretefractionalsuminequalitiesandtheirapplications
AT fanweimeng somenewgeneralizedvolterrafredholmtypediscretefractionalsuminequalitiesandtheirapplications
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