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

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  • Kelong Cheng
  • Chunxiang Guo
  • Min Tang

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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:562691
DOI: 10.1155/2014/562691
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