SOME NEW TYPES OF GRONWALL-BELLMAN INEQUALITY ON FRACTAL SET

被引：2

作者：

Wang, Guotao ^{[1
]}

Liu, Rong ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030000, Shanxi, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 04期

关键词：

Fractal Space; Local Fractional Integral; Local Fractional Derivative; Gronwall-Bellman Inequality; DYNAMIC INTEGRAL-INEQUALITIES; EXPLICIT BOUNDS; EQUATION;

D O I：

10.1142/S0218348X2340114X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Gronwall-Bellman-type inequalities provide a very effective way to investigate the qualitative and quantitative properties of solutions of nonlinear integral and differential equations. In recent years, local fractional calculus has attracted the attention of many researchers. In this paper, based on the basic knowledge of local fractional calculus and the method of proving inequality on the set of real numbers, some new Gronwall-Bellman inequalities are discussed and established on the fractal space. Our results are a powerful supplement to the existing literature.

引用

页数：6

共 26 条

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[25] On some new inequalities related to a certain inequality arising in the theory of differential equations
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