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Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform
Advances in Mathematical Physics, 2021 In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay +3 more
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The Tsallis–Laplace transform [PDF]
Physica A: Statistical Mechanics and its Applications, 2013 30 pages, no figures. Title has changed. Text has changed.
Plastino, Ángel Luis +1 more
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Can transfer function and Bode diagram be obtained from Sumudu transform
Alexandria Engineering Journal, 2020 In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and ...
Abdon Atangana, Ali Akgül
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On Non Conformable Fractional Laplace Transform [PDF]
, 2021 In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus et−α .
Vivas Cortez, Miguel José +5 more
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The accurate numerical inversion of laplace transforms [PDF]
, 1976 Inversion of almost arbitrary Laplace transforms is effected by trapezoidal integration along a special contour. The number n of points to be used is one of several parameters, in most cases yielding absolute errors of order 10-7 for n = 10, 10-11 for n
Tablot, A
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, 2022 : Based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, this paper provides several examples to illustrate how to use fractional Laplace transform to find the solution of linear system of fractional differential equations.
Chii-Huei Yu
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A general quantum Laplace transform
Advances in Difference Equations, 2020 In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata +2 more
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Results in Physics, 2023 Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran +4 more
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Lossy transmission line response via numerical Laplace transform inversion [PDF]
, 1994 An efficient transient analysis of lossy lines with nonlinear loads requires the ability to compute and represent a suitable set of line impulse responses.
F.G. Canavero +3 more
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Journal of the Australian Mathematical Society, 1971 In this paper we suppose that the function s(x) is integrable in the Lebesgue sense for every finite interval of x ≥ 0. If exists, we say that the integral exists.
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