A fractional power approach to fractional calculus
type: Item
instance of: scholarly article
title: A fractional power approach to fractional calculus
zbMATH Open document ID: 0707.47012
DOI: 10.1016/0022-247X(90)90049-L
author: S. E. Schiavone
author: Wilson Lamb
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: A theory of fractional powers of operators on an arbitrary Fréchet space is discussed. As special cases, multivariable fractional integrals and derivatives defined on certain spaces of test functions and generalised functions are obtained. In particular, properties of the two- dimensional Riesz fractional integral are determined and used to solve a distributional initial value problem involving the wave operator.
Mathematics Subject Classification ID: 47A60
Mathematics Subject Classification ID: 46F10
Mathematics Subject Classification ID: 46A04
zbMATH DE Number: 4161492
zbMATH Keywords: fractional powers of operators on an arbitrary Fréchet space
zbMATH Keywords: multivariable fractional integrals and derivatives
zbMATH Keywords: two-dimensional Riesz fractional integral
zbMATH Keywords: distributional initial value problem involving the wave operator
reviewed by: Aleksandar Torgašev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4161492