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Estimation of unknown function of a class of integral inequalities and applications in fractional integral equations

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  • Wang, Wu-Sheng

Abstract

In this paper, we establish a class of iterated integral inequalities, which includes a nonconstant term outside the integrals. The upper bound of the embedded unknown function is estimated explicitly by adopting novel analysis techniques, such as: change of variable, amplification method, differential and integration. The derived result can be applied in the study of qualitative properties of solutions of fractional integral equations.

Suggested Citation

  • Wang, Wu-Sheng, 2015. "Estimation of unknown function of a class of integral inequalities and applications in fractional integral equations," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1029-1037.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1029-1037
    DOI: 10.1016/j.amc.2015.07.015
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    References listed on IDEAS

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    1. Abdeldaim, A. & El-Deeb, A.A., 2015. "On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 375-380.
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