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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.

Suggested Citation

  • Kelong Cheng & Chunxiang Guo & Min Tang, 2014. "Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    • Handle: RePEc:hin:jnlaaa:562691
    DOI: 10.1155/2014/562691
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