Results 11 to 20 of about 22,341 (204)

Laplace transform of fractional order differential equations

Electronic Journal of Differential Equations, 2015
In this article, we show that Laplace transform can be applied to fractional system. To this end, solutions of linear fractional-order equations are first derived by a direct method, without using Laplace transform.
Song Liang, Ranchao Wu, Liping Chen
doaj   +1 more source

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, I. Maio, Maio, Ivano Adolfo, Canavero, Flavio   +3 more
core   +1 more source

Numerical solution of Bagley–Torvik equation including Atangana–Baleanu derivative arising in fluid mechanics

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, Muhammad Asif, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad   +4 more
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On Laplace Transform [PDF]

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.
openaire   +2 more sources

Application of Fractional Laplace Transform Method in Solving Linear Systems of Fractional Differential Equations

, 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
core   +1 more source

The h-Laplace and q-Laplace transforms

Journal of Mathematical Analysis and Applications, 2010
For a given function \(x\) with complex values the \(h\)-Laplace transform is defined as \[ (h/(1+hz))\sum^\infty_{k=0}x(kh)/(1+ hz)^k, \] and the \(q\)-Laplace transform as \[ (q-1)\sum^\infty_{n=0} q^nx(q^n)/\prod^n_{k=0} (1+(q- 1)q^k z), \] where \(z\) is the complex variable in the image domain.
Bohner, Martin, Guseinov, Gusein Sh.
openaire   +2 more sources

On the Laplace Transform of the Lognormal Distribution [PDF]

Methodology and Computing in Applied Probability, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asmussen, Søren, Jensen, Jens Ledet, Rojas-Nandayapa, Leonardo   +2 more
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Generalization of the effective Wiener-Ikehara theorem [PDF]

, 2013
International audienceWe consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform.
Roton, Anne de, de Roton, Anne, Révész, Szilárd   +2 more
core   +1 more source

On non conformable fractional Laplace transform

, 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
core   +2 more sources

On the $(k,\psi )$-Generalized Laplace Transforms and Their Applications to Fractional Differential Equations

Communications in Advanced Mathematical Sciences
In this paper, a new generalization of the Laplace transform, called the $(k,\psi )$-generalized Laplace transform, which plays an important role in solving many problem models, is introduced and its special properties are given.
Emine Cengizhan, Yasemin Başcı, Adil Mısır   +2 more
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