Fractional Integral Inequalities via Hadamard’s Fractional Integral

Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas and Jessada Tariboon
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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

Chapter Chapter 11 in Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities, 2017, pp 347-401 from Springer

Abstract: 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].

Date: 2017
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DOI: 10.1007/978-3-319-52141-1_11

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