Fractional Integral Inequalities via Hadamard’s Fractional Integral

Weerawat Sudsutad; Sotiris K. Ntouyas; Jessada Tariboon

doi:10.1155/2014/563096

Abstract and Applied Analysis (Jan 2014)

Fractional Integral Inequalities via Hadamard’s Fractional Integral

Weerawat Sudsutad,
Sotiris K. Ntouyas,
Jessada Tariboon

Affiliations

Weerawat Sudsutad: Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Jessada Tariboon: Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

DOI: https://doi.org/10.1155/2014/563096
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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