On fractional integral inequalities involving hypergeometric operators

DOI10.1155/2014/609476zbMath1301.26023OpenAlexW2030917474WikidataQ59036474 ScholiaQ59036474MaRDI QIDQ463239

Praveen Agarwal, Dumitru Baleanu, Sunil Dutt Purohit

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/609476

zbMATH Keywords

fractional integral inequalitiesfractional integral operatorssynchronous functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (16)

Unnamed Item ⋮ Integral inequalities involving generalized Erdélyi-Kober fractional integral operators ⋮ Integral inequalities associated with Gauss hypergeometric function fractional integral operators ⋮ Application of Laplace transform on fractional kinetic equation pertaining to the generalized Galué type Struve function ⋮ On new fractional integral inequalities using Marichev–Saigo–Maeda operator ⋮ Certain Chebyshev type integral inequalities involving Hadamard's fractional operators ⋮ Certain inequalities involving the fractional \(q\)-integral operators ⋮ Some new Saigo type fractional integral inequalities and their \(q\)-analogues ⋮ Chebyshev type integral inequalities involving the fractional hypergeometric operators ⋮ New Approach to Minkowski Fractional Inequalities Using Generalized K-fractional Integral Operator ⋮ On a multiple Čebyšev type functional defined by a generalized fractional integral operator ⋮ Extended type \(k\)-Mittag-Leffler function and its applications ⋮ Certain Grüss type inequalities involving the generalized fractional integral operator ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On weighted fractional inequalities using generalized Katugampola fractional integral operator

Cites Work

• Fractional quantum integral inequalities
• Some integral inequalities of Grüss type
• Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations
• Monotone iterative technique for fractional differential equations with periodic boundary conditions
• Advances on Fractional Inequalities
• Solutions of certain fractional kinetic equations and a fractional diffusion equation
• Chebyshev type inequalities for the Saigo fractional integrals and their q-analogues
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