On some explicit bounds of integral inequalities related to time scales
Abstract In this paper, we propose a new method to unify and extend some nonlinear dynamic double integral inequalities of two independent variables involving pairs of time scales via nabla derivative. The acquired results give explicit bounds which can be utilized to consider the subjective and qua...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2187-0 |
| _version_ | 1811289548095750144 |
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| author | Zareen A. Khan |
| author_facet | Zareen A. Khan |
| author_sort | Zareen A. Khan |
| collection | DOAJ |
| description | Abstract In this paper, we propose a new method to unify and extend some nonlinear dynamic double integral inequalities of two independent variables involving pairs of time scales via nabla derivative. The acquired results give explicit bounds which can be utilized to consider the subjective and quantitative properties of specific classes of dynamic conditions on time scales. An application to prove the validity of our established results is also given. |
| first_indexed | 2024-04-13T03:56:42Z |
| format | Article |
| id | doaj.art-5e6790efaae0443b8ebd392d9b3d7bfe |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T03:56:42Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-5e6790efaae0443b8ebd392d9b3d7bfe2022-12-22T03:03:36ZengSpringerOpenAdvances in Difference Equations1687-18472019-06-012019111510.1186/s13662-019-2187-0On some explicit bounds of integral inequalities related to time scalesZareen A. Khan0Department of Mathematics, Princess Nourah bint Abdul Rahman UniversityAbstract In this paper, we propose a new method to unify and extend some nonlinear dynamic double integral inequalities of two independent variables involving pairs of time scales via nabla derivative. The acquired results give explicit bounds which can be utilized to consider the subjective and quantitative properties of specific classes of dynamic conditions on time scales. An application to prove the validity of our established results is also given.http://link.springer.com/article/10.1186/s13662-019-2187-0Gronwall’s inequalityTime scalesNabla differentiationDynamic equations |
| spellingShingle | Zareen A. Khan On some explicit bounds of integral inequalities related to time scales Advances in Difference Equations Gronwall’s inequality Time scales Nabla differentiation Dynamic equations |
| title | On some explicit bounds of integral inequalities related to time scales |
| title_full | On some explicit bounds of integral inequalities related to time scales |
| title_fullStr | On some explicit bounds of integral inequalities related to time scales |
| title_full_unstemmed | On some explicit bounds of integral inequalities related to time scales |
| title_short | On some explicit bounds of integral inequalities related to time scales |
| title_sort | on some explicit bounds of integral inequalities related to time scales |
| topic | Gronwall’s inequality Time scales Nabla differentiation Dynamic equations |
| url | http://link.springer.com/article/10.1186/s13662-019-2187-0 |
| work_keys_str_mv | AT zareenakhan onsomeexplicitboundsofintegralinequalitiesrelatedtotimescales |