Interrelationships between Marichev-Saigo-Maeda fractional integral operators, the Laplace transform and the \(\overline{H}\)-function

DOI10.1007/S40819-019-0690-3zbMath1418.33001OpenAlexW2948520611MaRDI QIDQ2001831

Rashmi Jain, Devendra Kumar, Manish Bansal

Publication date: 11 July 2019

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-019-0690-3

zbMATH Keywords

Laplace transformAppell functionMarichev-Saigo-Maeda fractional integral operators\(\overline{H}\)-functiongeneralized Hurwitz-Lerch zeta function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20) Hurwitz and Lerch zeta functions (11M35) Appell, Horn and Lauricella functions (33C65)

Related Items (7)

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 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Certain unified integrals associated with product of the general class of polynomials and incomplete \(I\)-functions

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