Applications of fractional calculus
type: Item
instance of: scholarly article
title: Applications of fractional calculus
zbMATH Open document ID: 0643.33007
author: B. George
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: By making use of the integral analogue of the generalized Leibniz rule and the generalized Lagrange expansion given by \textit{T. J. Osler} [Math. Comput. 26, 449-460 (1972; Zbl 0244.26004); ibid. 903-915 (1972; Zbl 0256.26006)] and some other known results in the theory of fractional calculus, the authors have obtained five infinite integrals, three Fourier transform pairs and two expansions in this paper. The results established herein appear to be interesting and involve the functions \(F_ 1\), \(\Phi_ 1\), Kampé de Fériet functions, Fox' H- function and the mutivariable H-function. A number of formulas involving simpler functions can be obtained as special cases of the main results established in this paper.
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 4048086
zbMATH Keywords: mutivariable H-function
reviewed by: K. C. Gupta
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4048086