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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-09-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1152-7 |
| _version_ | 1819101520649519104 |
|---|---|
| author | Haidong Liu Fanwei Meng |
| author_facet | Haidong Liu Fanwei Meng |
| author_sort | Haidong Liu |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-22T01:19:59Z |
| format | Article |
| id | doaj.art-4974dddc202f41f6adf5b65b558f6695 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-22T01:19:59Z |
| publishDate | 2016-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4974dddc202f41f6adf5b65b558f66952022-12-21T18:43:45ZengSpringerOpenJournal 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 |
| 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 |
| title | 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_short | 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 |
| 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 |