Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function

DOI10.1186/s13660-017-1389-9zbMath1364.26014OpenAlexW2618050762WikidataQ42199334 ScholiaQ42199334MaRDI QIDQ530238

Atiq Ur Rehman, Ghulam Abbas, Khuram Ali Khan, Ghulam Farid

Publication date: 9 June 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1389-9

zbMATH Keywords

Mittag-Leffler functionconvex functionHadamard inequalityRiemann-Liouville fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Convexity of real functions in one variable, generalizations (26A51)

Related Items (5)

General fractional integral inequalities for convex and \(m\)-convex functions via an extended generalized Mittag-Leffler function ⋮ Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions ⋮ On bounds of fractional integral operators containing Mittag-Leffler functions for generalized exponentially convex functions ⋮ Some new inequalities for fractional integral operators ⋮ Fractional integral operators in linear spaces

Cites Work

• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Generalizations of some integral inequalities for fractional integrals
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Some integral inequalities for m-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function
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