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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, Hindawi, vol. 2014, pages 1-11, April.
    • Handle: RePEc:hin:jnlaaa:563096
    DOI: 10.1155/2014/563096
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    Cited by:

    1. Set, Erhan & Kashuri, Artion & Mumcu, İlker, 2021. "Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya–Szegö inequality with applications," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Weerawat Sudsutad & Nantapat Jarasthitikulchai & Chatthai Thaiprayoon & Jutarat Kongson & Jehad Alzabut, 2022. "Novel Generalized Proportional Fractional Integral Inequalities on Probabilistic Random Variables and Their Applications," Mathematics, MDPI, vol. 10(4), pages 1-21, February.

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