Extensions of Gronwall-Bellman type integral inequalities with two independent variables
Copyright policy )Extensions of Gronwall-Bellman type integral inequalities with two independent variables
Abstract 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.
- Hunan First Normal University China (People's Republic of)
- Guangxi Normal University for Nationalities China (People's Republic of)
- Guangxi University for Nationalities China (People's Republic of)
35a23, differential and integral equations, 34a40, Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals, QA1-939, Differential inequalities involving functions of a single real variable, partial differential equations, two independent variables, 6d10, Mathematics, fractional integral inequalities
35a23, differential and integral equations, 34a40, Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals, QA1-939, Differential inequalities involving functions of a single real variable, partial differential equations, two independent variables, 6d10, Mathematics, fractional integral inequalities
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