A Study of Marichev-Saigo-Maeda Fractional Integral Opera- tors Associated with the S-Generalized Gauss Hypergeometric Function

DOI10.5666/KMJ.2019.59.3.433zbMath1434.33012OpenAlexW3034595319MaRDI QIDQ5215886

Devendra Kumar, Rashmi Jain, Manish Bansal

Publication date: 13 February 2020

Full work available at URL: https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002504579

zbMATH Keywords

Mellin transformAppell's functionMarichev-Saigomaeda fractional integral operatorsS-generalized Gauss hypergeometric function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (11)

On basic Horn hypergeometric functions \(\mathrm{H}_3\) and \(\mathrm{H}_4\) ⋮ On the integral operators pertaining to a family of incomplete \(I\)-functions ⋮ On certain new results of fractional calculus involving product of generalized special functions ⋮ Fractional order models for viscoelasticity in lung tissues with power, exponential and Mittag-Leffler memories ⋮ Unnamed Item ⋮ Interrelationships between Marichev-Saigo-Maeda fractional integral operators, the Laplace transform and the \(\overline{H}\)-function ⋮ On a \(\psi \)-generalized fractional derivative operator of Riemann-Liouville with some applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Certain unified integrals associated with product of the general class of polynomials and incomplete \(I\)-functions

Cites Work

• Generating functions for the generalized Gauss hypergeometric functions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multiplication of fractional calculus operators and boundary value problems involving the Euler-Darboux equation
• Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications
• An efficient analytical technique for fractional model of vibration equation
• A hybrid computational approach for Klein-Gordon equations on Cantor sets
• The H-Function
• A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
• Operators of fractional integration and their applications
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