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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of function spaces 2020, Vol.2020 (2020), p.1-10
Main Authors: Kaynak, Kadir, Rashid, Saima, Ahmad, Hijaz, Khan, Zareen A., Wang, Miao-Kun
Format: Article
Language:English
Subjects:
Inequalities
Inequality
Integral equations
Integrals
Partial differential equations
Time
Upper bounds
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/6639743