2020
DOI: 10.1155/2020/6529698
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n-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator

Abstract: 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.

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Cited by 2 publications
(2 citation statements)
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“…Inverse Laplace transforms the resulting which expression yields the solutions in the time domain, revealing the transient behavior (initial response) and the steady-state behavior (long-term response) of the system. At recently, the authors [8,9,10], have been obtained and analysed with many applications using Laplace transform with n−tuples.…”
Section: Introductionmentioning
confidence: 99%
“…Inverse Laplace transforms the resulting which expression yields the solutions in the time domain, revealing the transient behavior (initial response) and the steady-state behavior (long-term response) of the system. At recently, the authors [8,9,10], have been obtained and analysed with many applications using Laplace transform with n−tuples.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, Bastos et al developed the theory on h-sum and h-di erence operators in discrete fractional calculus. For more recent applications of fractional Laplace transform, one can refer [8][9][10][11]. ese concepts are very well applied in discrete fractional transforms in the field of fractional calculus [12].…”
Section: Introductionmentioning
confidence: 99%