Block-pulse functions method of the inverse Laplace transform for irrational and transcendental transfer functions
type: Item
instance of: scholarly article
title: Block-pulse functions method of the inverse Laplace transform for irrational and transcendental transfer functions
zbMATH Open document ID: 0554.44002
DOI: 10.1016/0016-0032(84)90042-5
published in: Journal of the Franklin Institute
publication date: 1984-01-01T00:00:00Z
review text: This paper is concerned with the application of block-pulse functions to the inverse Laplace transform for a fractional calculus. A new direct method of the block-pulse functions technique of the inverse Laplace transform for irrational and transcendental transfer functions is developed. It is shown that the existing indirect method can be used equivalently with the new one. Two illustrative examples are given.
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 44A20
zbMATH DE Number: 3882994
zbMATH Keywords: block-pulse functions
zbMATH Keywords: inverse Laplace transform
zbMATH Keywords: fractional calculus
zbMATH Keywords: irrational
zbMATH Keywords: transcendental
author: Wieslaw Marszalek
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
full work available at URL: 0016-0032(84)90042-5
OpenAlex ID: W1976402132
cites work: Numerical inversion of multidimensional Laplace transforms via block-pulse functions
cites work: The block-pulse functions method of the two-dimensional Laplace transform
cites work: Generalized block-pulse operational matrices and their applications to operational calculus
cites work: Walsh operational matrices for fractional calculus and their application to distributed systems
cites work: On the generalization of block pulse operational matrices for fractional and operational calculus
Recommended article: On the inverse Laplace transform of irrational and transcendental transfer functions via block-pulse functions method
Recommended article: New approximation method for inverse Laplace transforms using block-pulse functions
Recommended article: Q5488227
Recommended article: Q3082810
Recommended article: New approach to the solution of integral equations via block pulse functions
Recommended article: Inverse Laplace transforms of a class of non-rational fractional functions
Recommended article: On Rational Approximations to the Inverse Laplace Transform
Recommended article: Inverse Laplace transform by piecewise linear polynomial functions
Recommended article: Q3761650
description: scientific article; zbMATH DE number 3882994