A class of extended Mittag-Leffler functions and their properties related to integral transforms and fractional calculus

DOI10.3390/math3041069zbMath1331.33044OpenAlexW2142785017MaRDI QIDQ901461

Rakesh Kumar Parmar

Publication date: 12 January 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math3041069

zbMATH Keywords

Laplace transformMellin transformMittag-Leffler functiongeneralized Mittag-Leffler functionextended beta functionextended hypergeometric functionsFox H-functionWright hypergeometric functionfractional calculus operatorsEuler-beta transformsextended confluent hypergeometric function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Hypergeometric functions (33Cxx)

Related Items (7)

General fractional integral inequalities for convex and \(m\)-convex functions via an extended generalized Mittag-Leffler function ⋮ Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus ⋮ Fractional differential equations for the generalized Mittag-Leffler function ⋮ Unnamed Item ⋮ Beta operator with Caputo Marichev-Saigo-Maeda fractional differential operator of extended Mittag-Leffler function ⋮ Laplace operator with Caputo-type Marichev-Saigo-Maeda fractional differential operator of extended Mittag-Leffler function ⋮ Inclusion and convolution features of univalent meromorphic functions correlating with Mittag-Leffler function

Cites Work

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