Composition identities for the Caputo fractional derivatives and applications to Opial-type inequalities

DOI10.7153/MIA-16-49zbMath1280.26009OpenAlexW2334828983MaRDI QIDQ2853301

Ivan Perić, Maja Andrić, Josip E. Pečarić

Publication date: 21 October 2013

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-16-49

zbMATH Keywords

Laplace transformOpial-type inequalitiesCaputo fractional derivativescomposition rules

Mathematics Subject Classification ID

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

Related Items (9)

On Opial-type inequalities via a new generalized integral operator ⋮ 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 ⋮ An Opial-Type inequality for fractional derivatives of two functions ⋮ An Opial-type integral inequality and exponentially convex functions ⋮ On generalization of an integral inequality and its applications ⋮ 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

This page was built for publication: Composition identities for the Caputo fractional derivatives and applications to Opial-type inequalities