A multiple Opial type inequality for the Riemann-Liouville fractional derivatives

DOI10.7153/JMI-07-13zbMath1264.26023OpenAlexW2304095314MaRDI QIDQ4917179

Ivan Perić, Maja Andrić, Josip E. Pečarić

Publication date: 29 April 2013

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-07-13.pdf

zbMATH Keywords

Laplace transformRiemann-Liouville fractional derivativeOpial type inequalitycomposition identity

Mathematics Subject Classification ID

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

Related Items (13)

Chebyshev type inequalities with fractional delta and nabla h-sum operators ⋮ Fractional Minkowski-type integral inequalities via the unified generalized fractional integral operator ⋮ FURTHER ON OPIAL TYPE INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS ⋮ New aspects of Opial-type integral inequalities ⋮ Weighted Hardy-type inequalities for monotone convex functions with some applications ⋮ An Opial-Type inequality for fractional derivatives of two functions ⋮ An Opial-type integral inequality and exponentially convex functions ⋮ Opial-type inequality due to Agarwal–Pang and fractional differential inequalities ⋮ On generalization of an integral inequality and its applications ⋮ New fractional order discrete Grüss type inequality ⋮ Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives ⋮ Mean value Theorems associated to the differences of Opial-type inequalities and their fractional versions ⋮ General Opial type inequality

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