Modified laplace transform and its properties

Mohd Saif; Faisal Khan; Kottakkaran Sooppy Nisar; Serkan Araci

doi:10.22436/jmcs.021.02.04

Modified laplace transform and its properties

Mohd Saif
, Faisal Khan
, Kottakkaran Sooppy Nisar
, Serkan Araci

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and a > 0. Also we prove some basic results of this modified Laplace transform and connection with different functions.

Original language	English
Pages (from-to)	127-135
Number of pages	9
Journal	Journal of Mathematics and Computer Science
Volume	21
Issue number	2
DOIs	https://doi.org/10.22436/jmcs.021.02.04
State	Published - 2020

Keywords

Convolution
Double laplace transform
Laplace transform

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10.22436/jmcs.021.02.04

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title = "Modified laplace transform and its properties",

abstract = "In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and a > 0. Also we prove some basic results of this modified Laplace transform and connection with different functions.",

keywords = "Convolution, Double laplace transform, Laplace transform",

author = "Mohd Saif and Faisal Khan and Nisar, \{Kottakkaran Sooppy\} and Serkan Araci",

year = "2020",

doi = "10.22436/jmcs.021.02.04",

language = "English",

volume = "21",

pages = "127--135",

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T1 - Modified laplace transform and its properties

AU - Saif, Mohd

AU - Khan, Faisal

AU - Nisar, Kottakkaran Sooppy

AU - Araci, Serkan

PY - 2020

Y1 - 2020

N2 - In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and a > 0. Also we prove some basic results of this modified Laplace transform and connection with different functions.

AB - In this paper we propose a new definition of the modified Laplace transform La(f(t)) for a piece-wise continuous function of exponential order which further reduces to simple Laplace transform for a = e where a a ≠ 1 and a > 0. Also we prove some basic results of this modified Laplace transform and connection with different functions.

KW - Convolution

KW - Double laplace transform

KW - Laplace transform

UR - https://www.scopus.com/pages/publications/85084008373

U2 - 10.22436/jmcs.021.02.04

DO - 10.22436/jmcs.021.02.04

M3 - Article

AN - SCOPUS:85084008373

SN - 2008-949X

VL - 21

SP - 127

EP - 135

JO - Journal of Mathematics and Computer Science

JF - Journal of Mathematics and Computer Science

IS - 2

ER -

Modified laplace transform and its properties

Abstract

Keywords

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