Some new convolution properties and inversion formulas of Laplace transforms

This paper deals with new convolution properties and some new inversion formulas for the Laplace transforms which are not available in the extensive literature of Laplace transforms. The derivation of these inverse Laplace transforms involves new integral formulas of exponential form. These integral...

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Bibliographic Details
Main Authors: Narahari, M., Debnath, L.
Format: Article
Published: 2014
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893744662&doi=10.1080%2f10652469.2013.870172&partnerID=40&md5=d4c785d6039d3c7440f3421e90f46ed3
http://eprints.utp.edu.my/31275/
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Summary:This paper deals with new convolution properties and some new inversion formulas for the Laplace transforms which are not available in the extensive literature of Laplace transforms. The derivation of these inverse Laplace transforms involves new integral formulas of exponential form. These integral formulas are provided in the appendix. The inverse Laplace transform formulas are presented in a tabular form so that they can be used to solve many problems in applied mathematics and engineering science. © 2013 © 2013 Taylor & Francis.