The convolution method for the development of new leibniz rules involving fractional derivatives and of their integral analogues

DOI10.1080/10652469308819014zbMath0822.33006OpenAlexW2115075092WikidataQ123352638 ScholiaQ123352638MaRDI QIDQ4837504

Hari M. Srivastava, Semyon B. Yakubovich, Yu. F. Luchko

Publication date: 3 July 1995

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469308819014

zbMATH Keywords

Leibniz rules \(G\)-transforms \(G\)-convolutions Mejer's \(G\)-function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (7)

The \(\mathrm{Y}\) transforms and allied pseudo-differential operators ⋮ A pair of Barut-Girardello type transforms and allied pseudo-differential operators ⋮ A new Leibniz rule and its integral analogue for fractional derivatives ⋮ Operators of fractional integration and their applications ⋮ Discussion on the Leibniz rule and Laplace transform of fractional derivatives using series representation ⋮ On convolution structures for \(H\)-function transformations ⋮ Wavelet transform and its composition in the framework of Barut-Girardello transform

Cites Work

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