scholarly journals Fractional frequency Laplace transform by inverse difference operator with shift value

2019 ◽  
Vol 3(2019) (1) ◽  
pp. 121-128 ◽  
Author(s):  
Sandra Pinelas ◽  
◽  
Meganathan Murugesan ◽  
Britto Antony Xavier Gnanaprakasam Gnanaprakasam ◽  
◽  
...  
Keyword(s):  
Laplace Transform ◽  
Difference Operator ◽  
Fractional Frequency

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

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
M. Meganathan ◽  
Thabet Abdeljawad ◽  
G. Britto Antony Xavier ◽  
Fahd Jarad
Keyword(s):  
Laplace Transform ◽  
Difference Operator ◽  
Extensive Literature ◽  
Fractional Frequency ◽  
Research Article ◽  
The Laplace Transform

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.

scholarly journals One dimensional fractional frequency Sumudu transform by inverse α−difference operator

10.26524/cm73 ◽  
2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Chandrasekar B ◽  
Meganathan M ◽  
Vasuki S
Keyword(s):  
Difference Operator ◽  
Convolution Product ◽  
One Dimensional ◽  
Fractional Frequency ◽  
Sumudu Transform

In this paper, we define fractional frequency Sumudu transform by inverse α−difference operator. Here we present certain new results on Sumudu transform of polynomial factorial,trigonometric and geometric functions using shift value. Finally, we provide the relation between convolution product and fractional Sumudu transform of polynomial and exponential function.Numerical results are verified and analysed the outcomes by graphs.

scholarly journals A general quantum Laplace transform

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Enas M. Shehata ◽  
Nashat Faried ◽  
Rasha M. El Zafarani
Keyword(s):  
Continuous Function ◽  
Laplace Transform ◽  
Difference Equations ◽  
Difference Operator ◽  
General Quantum ◽  
Quantum Difference

Abstract In this paper, we introduce a general quantum Laplace transform $\mathcal{L}_{\beta }$ L β and some of its properties associated with the general quantum difference operator ${D}_{\beta }f(t)= ({f(\beta (t))-f(t)} )/ ({ \beta (t)-t} )$ D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) , β is a strictly increasing continuous function. In addition, we compute the β-Laplace transform of some fundamental functions. As application we solve some β-difference equations using the β-Laplace transform. Finally, we present the inverse β-Laplace transform $\mathcal{L}_{\beta }^{-1}$ L β − 1 .

scholarly journals One dimensional fractional frequency Fourier transform by inverse difference operator

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Maysaa Alqurashi ◽  
Meganathan Murugesan ◽  
Britto Antony Xavier Gnanaprakasam
Keyword(s):  
Fourier Transform ◽  
Difference Operator ◽  
One Dimensional ◽  
Fractional Frequency

scholarly journals Alpha fractional frequency Laplace transform through multiseries

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Meganathan Murugesan ◽  
Thabet Abdeljawad ◽  
Britto Antony Xavier Gnanaprakasam ◽  
Fahd Jarad
Keyword(s):  
Laplace Transform ◽  
Fractional Frequency

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

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