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Fractional Integral Inequalities via Hadamard’s Fractional Integral

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  • Weerawat Sudsutad
  • Sotiris K. Ntouyas
  • Jessada Tariboon

Abstract

We establish new fractional integral inequalities, via Hadamard’s fractional integral. Several new integral inequalities are obtained, including a Grüss type Hadamard fractional integral inequality, by using Young and weighted AM‐GM inequalities. Many special cases are also discussed.

Suggested Citation

  • Weerawat Sudsutad & Sotiris K. Ntouyas & Jessada Tariboon, 2014. "Fractional Integral Inequalities via Hadamard’s Fractional Integral," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:563096
    DOI: 10.1155/2014/563096
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    References listed on IDEAS

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    1. George A. Anastassiou, 2009. "Fractional Differentiation Inequalities," Springer Books, Springer, number 978-0-387-98128-4, March.
    2. Jessada Tariboon & Sotiris K. Ntouyas & Weerawat Sudsutad, 2014. "Some New Riemann-Liouville Fractional Integral Inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-6, March.
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