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New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems

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  • Jing Shao

Abstract

Some new integral inequalities with weakly singular kernel for discontinuous functions are established using the method of successive iteration and properties of Mittag‐Leffler function, which can be used in the qualitative analysis of the solutions to certain impulsive fractional differential systems.

Suggested Citation

  • Jing Shao, 2014. "New Integral Inequalities with Weakly Singular Kernel for Discontinuous Functions and Their Applications to Impulsive Fractional Differential Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:252946
    DOI: 10.1155/2014/252946
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    References listed on IDEAS

    as
    1. Jing Shao & Fanwei Meng, 2013. "Gronwall-Bellman Type Inequalities and Their Applications to Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, August.
    2. Lakshman Mahto & Syed Abbas & Angelo Favini, 2013. "Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications," International Journal of Differential Equations, Hindawi, vol. 2013, pages 1-11, February.
    3. Jing Shao & Fanwei Meng, 2013. "Gronwall‐Bellman Type Inequalities and Their Applications to Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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