Opial type inequalities involving fractional derivatives of two functions and applications

DOI10.1016/j.camwa.2003.08.013zbMath1094.26010OpenAlexW2076726288MaRDI QIDQ1779605

George A. Anastassiou

Publication date: 1 June 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.08.013

zbMATH Keywords

fractional derivativeuniqueness of solutionsystem of fractional differential equationsupper bound of solutionOpial type inequality

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

Opial-type inequalities for diamond-alpha derivatives and integrals on time scales ⋮ Some new fractional \(q\)-integral Grüss-type inequalities and other inequalities ⋮ Fractional representation formulae and right fractional inequalities ⋮ Reverse Riemann-Liouville fractional opial inequalities for several functions ⋮ Some new fractional quantum integral inequalities ⋮ New aspects of Opial-type integral inequalities ⋮ Some new Riemann-Liouville fractional integral inequalities ⋮ Fractional quantum integral inequalities ⋮ On Grüss inequalities within generalized \(\mathcal{K}\)-fractional integrals ⋮ Some new inequalities of the Grüss type for conformable fractional integrals

Cites Work

• General fractional Opial type inequalities
• Fractional Opial type inequalities and fractional differential equations
• 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
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