Fractional integral inequalities via Hadamard's fractional integral

DOI10.1155/2014/563096zbMath1474.26143OpenAlexW2023750167WikidataQ59039445 ScholiaQ59039445MaRDI QIDQ1724386

Jessada Tariboon, Weerawat Sudsutad, Sotiris K. Ntouyas

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/563096

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15)

Related Items (8)

Chebyshev type inequalities by using generalized proportional Hadamard fractional integrals via Polya-Szegö inequality with applications ⋮ Integral inequalities with `maxima' and their applications to Hadamard type fractional differential equations ⋮ Fractional Minkowski-type integral inequalities via the unified generalized fractional integral operator ⋮ On more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applications ⋮ An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities ⋮ Certain Chebyshev type integral inequalities involving Hadamard's fractional operators ⋮ Unnamed Item ⋮ New estimates considering the generalized proportional Hadamard fractional integral operators

Cites Work

• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• Fractional integral inequalities and applications
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• Explicit bounds on some new nonlinear integral inequalities with delay
• Some new Riemann-Liouville fractional integral inequalities
• Fractional Differentiation Inequalities
• Hadamard-type integrals as G-transforms
• A study on Hadamard fractional integral
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