## Abstract and Applied Analysis

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

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 562691, 9 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412607134

Digital Object Identifier
doi:10.1155/2014/562691

Mathematical Reviews number (MathSciNet)
MR3212432

Zentralblatt MATH identifier
07022612

#### Citation

Cheng, Kelong; Guo, Chunxiang; Tang, Min. Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 562691, 9 pages. doi:10.1155/2014/562691. https://projecteuclid.org/euclid.aaa/1412607134

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