Extensions of Gronwall-Bellman type integral inequalities with two independent variables

Autor: Xie Yihuai, Li Yueyang, Liu Zhenhai
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Open Mathematics, Vol 20, Iss 1, Pp 431-446 (2022)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0029
Popis: In this paper, we establish several kinds of integral inequalities in two independent variables, which improve well-known versions of Gronwall-Bellman inequalities and extend them to fractional integral form. By using these inequalities, we can provide explicit bounds on unknown functions. The integral inequalities play an important role in the qualitative theory of differential and integral equations and partial differential equations.
Databáze: Directory of Open Access Journals