Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales
The objective of this research is to formulate a specific class of integral inequalities of Gronwall kind concerning retarded term and nonlinear integrals with time scales theory. Our results generate several new inequalities that reflect continuous and discrete form, as well as giving the unknown f...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6639743 |
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| _version_ | 1832546822058409984 |
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| author | Zareen A. Khan Hijaz Ahmad Saima Rashid Kadir Kaynak Miao-Kun Wang |
| author_facet | Zareen A. Khan Hijaz Ahmad Saima Rashid Kadir Kaynak Miao-Kun Wang |
| author_sort | Zareen A. Khan |
| collection | DOAJ |
| description | The objective of this research is to formulate a specific class of integral inequalities of Gronwall kind concerning retarded term and nonlinear integrals with time scales theory. Our results generate several new inequalities that reflect continuous and discrete form, as well as giving the unknown function an upper bound estimate. The effectiveness of such inequalities arises from the belief that it is widely relevant in unique circumstances where there is no valid utilization of various available inequalities. Applications are additionally represented to display the legitimacy of built-up hypotheses. |
| format | Article |
| id | doaj-art-960b7a56d34a444ca39b9068b454ae79 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-960b7a56d34a444ca39b9068b454ae792025-02-03T06:46:58ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66397436639743Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time ScalesZareen A. Khan0Hijaz Ahmad1Saima Rashid2Kadir Kaynak3Miao-Kun Wang4Department of Mathematics, College of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi ArabiaDepartment of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanDepartment of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, TurkeyDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaThe objective of this research is to formulate a specific class of integral inequalities of Gronwall kind concerning retarded term and nonlinear integrals with time scales theory. Our results generate several new inequalities that reflect continuous and discrete form, as well as giving the unknown function an upper bound estimate. The effectiveness of such inequalities arises from the belief that it is widely relevant in unique circumstances where there is no valid utilization of various available inequalities. Applications are additionally represented to display the legitimacy of built-up hypotheses.http://dx.doi.org/10.1155/2020/6639743 |
| spellingShingle | Zareen A. Khan Hijaz Ahmad Saima Rashid Kadir Kaynak Miao-Kun Wang Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales Journal of Function Spaces |
| title | Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales |
| title_full | Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales |
| title_fullStr | Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales |
| title_full_unstemmed | Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales |
| title_short | Some Nonlinear Integral Inequalities Connected with Retarded Terms on Time Scales |
| title_sort | some nonlinear integral inequalities connected with retarded terms on time scales |
| url | http://dx.doi.org/10.1155/2020/6639743 |
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