n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator

n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator

With the study of extensive literature on the Laplace transform with one and two variables and its properties, applications are available, but there is no work on n-dimensional Laplace transform. In this research article, we define n-dimensional fractional frequency Laplace transform with shift valu...

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Main Authors: M. Meganathan, Thabet Abdeljawad, G. Britto Antony Xavier, Fahd Jarad
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/6529698
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spelling doaj-61c735fa920c414e8e28c6ee1f22b34d2020-11-25T03:44:06ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/65296986529698n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference OperatorM. Meganathan0Thabet Abdeljawad1G. Britto Antony Xavier2Fahd Jarad3Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur District 635601, Vellore, IndiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, Sacred Heart College (Autonomous), Tirupattur District 635601, Vellore, IndiaDepartment of Mathematics, Cankaya University, Etimesgut 06790, Ankara, TurkeyWith the study of extensive literature on the Laplace transform with one and two variables and its properties, applications are available, but there is no work on n-dimensional Laplace transform. In this research article, we define n-dimensional fractional frequency Laplace transform with shift values. Several theorems are derived with properties of the Laplace transform. The results are numerically analyzed and discussed through MATLAB.http://dx.doi.org/10.1155/2020/6529698
collection DOAJ
language English
format Article
sources DOAJ
author M. Meganathan
Thabet Abdeljawad
G. Britto Antony Xavier
Fahd Jarad
spellingShingle M. Meganathan
Thabet Abdeljawad
G. Britto Antony Xavier
Fahd Jarad
n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
Mathematical Problems in Engineering
author_facet M. Meganathan
Thabet Abdeljawad
G. Britto Antony Xavier
Fahd Jarad
author_sort M. Meganathan
title n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
title_short n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
title_full n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
title_fullStr n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
title_full_unstemmed n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator
title_sort n-dimensional fractional frequency laplace transform by the inverse difference operator
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description With the study of extensive literature on the Laplace transform with one and two variables and its properties, applications are available, but there is no work on n-dimensional Laplace transform. In this research article, we define n-dimensional fractional frequency Laplace transform with shift values. Several theorems are derived with properties of the Laplace transform. The results are numerically analyzed and discussed through MATLAB.
url http://dx.doi.org/10.1155/2020/6529698
work_keys_str_mv AT mmeganathan ndimensionalfractionalfrequencylaplacetransformbytheinversedifferenceoperator
AT thabetabdeljawad ndimensionalfractionalfrequencylaplacetransformbytheinversedifferenceoperator
AT gbrittoantonyxavier ndimensionalfractionalfrequencylaplacetransformbytheinversedifferenceoperator
AT fahdjarad ndimensionalfractionalfrequencylaplacetransformbytheinversedifferenceoperator
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