RIEMANN-LIOUVILLE FRACTIONAL FUNDAMENTAL THEOREM OF CALCULUS AND RIEMANN-LIOUVILLE FRACTIONAL POLYA TYPE INTEGRAL INEQUALITY AND ITS EXTENSION TO CHOQUET INTEGRAL SETTING

DOI10.4134/BKMS.b180934zbMath1434.26007OpenAlexW3025078896MaRDI QIDQ5213093

George A. Anastassiou

Publication date: 31 January 2020

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201934340926365.pdf

zbMATH Keywords

Choquet integralRiemann-Liouville fractional derivativefractional fundamental theoremfractional Pólya integral inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Some parameterized inequalities arising from the tempered fractional integrals involving the (μ,η)-incomplete gamma functions ⋮ ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

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• Intelligent mathematics: computational analysis
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Non-additive measure and integral
• A note on derivatives of functions with respect to fuzzy measures
• Theory of capacities
• Pólya type integral inequalities: Origin, variants, proofs, refinements, generalizations, equivalences, and applications

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