Fractional calculus and its applications involving functions of several variables

DOI10.1016/S0893-9659(99)00051-8zbMath0939.26004OpenAlexW2040821434MaRDI QIDQ1808453

Ravi N. Kalia, Hari M. Srivastava

Publication date: 5 July 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00051-8

zbMATH Keywords

functions of several variablesentire functionsmultivariable hypergeometric functionsfractional calculusLeibniz ruleRiemann-Liouville operatorincomplete gamma functionsbilateral expansionsSrivastava-Daoust generalized Lauricella function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Appell, Horn and Lauricella functions (33C65) Functions of several variables (26B99) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (4)

Remarks on some series expansions associated with certain products of the incomplete Gamma functions ⋮ An extended formulation of calculus of variations for incommensurate fractional derivatives with fractional performance index ⋮ Some generalizations of the Hadamard expansion for the modified Bessel function. ⋮ The integral analogue of the Leibniz rule for fractional calculus and its applications involving functions of several variables

Cites Work

• A Further Extension of the Leibniz Rule to Fractional Derivatives and Its Relation to Parseval’s Formula
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