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

Kelong Cheng, Chunxiang Guo and Min Tang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/562691

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:562691

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