Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications

被引：9
|
作者：
Cheng, Kelong [1 ]
Guo, Chunxiang [2 ]
Tang, Min [3 ]
机构：
[1] Southwest Univ Sci & Technol, Sch Sci, Mianyang 621010, Peoples R China
[2] Sichuan Univ, Sch Business, Chengdu 610064, Peoples R China
[3] Southwest Univ Nationalities, Sch Preparatory Educ, Chengdu 610041, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
EXPLICIT BOUNDS; BIHARI-TYPE;
D O I：
10.1155/2014/562691
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations. An example is presented to show the application for the qualitative study of solutions of a fractional integral equation with the Riemann-Liouville fractional operator.
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页数：9
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