New integral inequalities and their applications to convex functions with a continuous Caputo fractional derivative

DOI10.22436/jnsa.011.05.07zbMath1438.26043OpenAlexW2795247699MaRDI QIDQ5225404

Mohamed Jleli, Bessem Samet, Bashir Ahmad

Publication date: 22 July 2019

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

Full work available at URL: https://doi.org/10.22436/jnsa.011.05.07

zbMATH Keywords

convex functionCaputo fractional derivativeHadamard-type inequalitiesfractional mean value theorem\((\varphi, \delta)\)-Lipschitzian

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Asymptotically linear solutions for some linear fractional differential equations
• Hermite-Hadamard's type inequalities for operator convex functions
• Generalized Taylor's formula
• An existence result for a superlinear fractional differential equation
• Two mappings in connection to Hadamard's inequalities
• Inequalities of Hadamard's type for Lipschitzian mappings and their applications
• Certain inequalities involving the fractional \(q\)-integral operators
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• On φ-convex functions
• Generalization of different type integral inequalities for s-convex functions via fractional integrals
• On some Hadamard-type inequalities for h-convex functions
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
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