Generalized fractional integral operators and the multivariable \(H\)-function

DOI10.1186/s13660-015-0878-yzbMath1334.33039OpenAlexW1926938984WikidataQ59427432 ScholiaQ59427432MaRDI QIDQ264342

Mehar Chand, Sergei V. Rogosin, Praveen Agarwal, Erkinjon Tulkinovich Karimov

Publication date: 31 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0878-y

zbMATH Keywords

Mittag-Leffler functionfirst class of multivariable polynomialsMarichev-Saigo-Maeda fractional integral operatormultivariable \(H\)-function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (3)

Unnamed Item ⋮ Certain fractional kinetic equations involving generalized \(k\)-Bessel function ⋮ Unnamed Item

Uses Software

• DLMF

Cites Work

• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The integration of certain products of the multivariable H-function with a general class of polynomials
• On generalized fractional integral operators and the generalized Gauss hypergeometric functions
• Certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions
• Some multidimensional fractional integral operators involving a general class of polynomials
• Fractional integration of the \(H\)-function of several variables
• IPMC Actuators Non Integer Order Models
• The H-Function
• Generalized fractional integration of Bessel function of the first kind
• Statistical Inference for Fractional Diffusion Processes
• Mittag-Leffler Functions, Related Topics and Applications
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