The exact solution of certain differential equations of fractional order by using operational calculus
type: Item
instance of: scholarly article
title: The exact solution of certain differential equations of fractional order by using operational calculus
zbMATH Open document ID: 0824.44011
DOI: 10.1016/0898-1221(95)00031-S
author: Yu. Luchko
author: H. M. Srivastava
publication date: 1995-11-14T00:00:00Z
review text: First the authors develop an operational calculus for the familiar Riemann-Liouville fractional differential operator. This operational calculus is then used to solve a Cauchy boundary-value problem for a certain linear equation involving the Riemann-Liouville fractional derivatives. Relevant connections are also indicated with the special cases of the equation, which were solved earlier by using other methods.
Mathematics Subject Classification ID: 44A45
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 779215
zbMATH Keywords: hyper-Bessel differential operator
zbMATH Keywords: Erdélyi-Kober fractional derivatives
zbMATH Keywords: fractional calculus
zbMATH Keywords: linear operator
zbMATH Keywords: Weierstrass approximation theorem
zbMATH Keywords: convolution quotients
zbMATH Keywords: operational calculus
zbMATH Keywords: Riemann-Liouville fractional differential operator
zbMATH Keywords: Cauchy boundary-value problem
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
cites work: Q3265035
cites work: On the theory of the operational calculus for the Bessel equation
cites work: Germs and their Operational Calculus
cites work: Q3478997
cites work: Q4854446
cites work: Q3961784
cites work: Q4726489
cites work: Q5183987
cites work: Q3995292
cites work: Q4188258
cites work: Operational calculus. A theory of hyperfunctions. Transl. from the Japanese
cites work: COMPLEX FOURIER--BESSEL TRANSFORMS
cites work: On certain applications of the operational calculus to problems of analysis
full work available at URL: 0898-1221(95)00031-s
OpenAlex ID: W2056400535
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 779215