Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with applications

DOI10.1016/j.mcm.2007.09.017zbMath1145.44300OpenAlexW2029823203MaRDI QIDQ949547

George A. Anastassiou

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.09.017

zbMATH Keywords

uniqueness of solutionRiemann-Liouville fractional derivativesystem of fractional differential equationsopial type inequalityupper bound of solution

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inequalities for sums, series and integrals (26D15)

Related Items (11)

General Raina fractional integral inequalities on coordinates of convex functions ⋮ Stability of solutions for generalized fractional differential problems by applying significant inequality estimates ⋮ An Opial-type inequality on time scales ⋮ Stability of logarithmic type for a Hadamard fractional differential problem ⋮ Some new fractional \(q\)-integral Grüss-type inequalities and other inequalities ⋮ Non-existence results for a nonlinear fractional system of differential problems ⋮ Some new fractional quantum integral inequalities ⋮ New aspects of Opial-type integral inequalities ⋮ New fractional inequalities of Hermite-Hadamard type involving the incomplete gamma functions ⋮ Positive solutions for mixed problems of singular fractional differential equations ⋮ Integral inequalities for a fractional operator of a function with respect to another function with nonsingular kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• General fractional Opial type inequalities
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional Opial type inequalities and fractional differential equations
• Opial type \(L^{p}\)-inequalities for fractional derivatives
• Opial-type inequalities involving higher order differences
• Sharp Opial-type inequalities involving \(r\)-derivatives and their applications
• Sur une inégalité
• Sharp Opial‐Type Inequalities Involving Higher Order Derivatives of Two Functions

This page was built for publication: Opial type inequalities involving Riemann-Liouville fractional derivatives of two functions with applications