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Fractional Integral Inequalities via Hadamard’s Fractional Integral

In: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Author

Listed:
  • Bashir Ahmad

    (King Abdulaziz University, Department of Mathematics)

  • Ahmed Alsaedi

    (King Abdulaziz University, Department of Mathematics)

  • Sotiris K. Ntouyas

    (University of Ioannina, Department of Mathematics)

  • Jessada Tariboon

    (King Mongkut’s University of Technology North Bangkok, Department of Mathematics)

Abstract

Inequalities have emerged as one of the most powerful and far-reaching tools for the development of many branches of mathematics. The topic of mathematical inequalities plays quite an important role in the study of classical differential and integral equations [113, 134–137]. Fractional inequalities are also important in studying the existence, uniqueness and other properties of fractional differential equations. Recently many authors have studied integral inequalities by using Riemann-Liouville and Caputo derivative, for instance, see [35, 44, 65–67, 72] and the references therein. More recently, some results on fractional integral inequalities involving Hadamard fractional integral have also appeared [59, 60, 147].

Suggested Citation

  • Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Jessada Tariboon, 2017. "Fractional Integral Inequalities via Hadamard’s Fractional Integral," Springer Books, in: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, chapter 0, pages 347-401, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-52141-1_11
    DOI: 10.1007/978-3-319-52141-1_11
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