Results 11 to 20 of about 882,396 (145)

On a Generalized Laplace Transform [PDF]

open access: yes, 2021
In this work we define a generalized Laplace transform and establish some of its fundamental properties, in addition, we show that it contains as particular cases, several known from the literature, including the classical Laplace transform. In addition,
́poles Valde ́s Juan E., Na   +3 more
core   +2 more sources

Generalized Borel transform technique in quantum mechanics [PDF]

open access: yes, 2003
We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable
García Canal, Carlos Alberto   +3 more
core   +1 more source

Generating Series for Interconnected Nonlinear Systems and the Formal Laplace-Borel Transform [PDF]

open access: yes, 2004
Formal power series methods provide effective tools for nonlinear system analysis. For a broad range of analytic nonlinear systems, their input-output mapping can be described by a Fliess operator associated with a formal power series.
Li, Yaqin
core   +1 more source

Lossy transmission line response via numerical Laplace transform inversion [PDF]

open access: yes, 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
core   +1 more source

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

open access: yes, 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

On Non Conformable Fractional Laplace Transform [PDF]

open access: yes, 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
core   +2 more sources

On a q—Analog of a Singularly Perturbed Problem of Irregular Type with Two Complex Time Variables

open access: yesMathematics, 2019
The analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain are constructed and studied from an asymptotic point of view with respect to the perturbation parameter.
Alberto Lastra, Stéphane Malek
doaj   +1 more source

Continuous right inverses for the asymptotic Borel map in ultraholomorphic classes via a Laplace-type transform [PDF]

open access: yes, 2012
A new construction of linear continuous right inverses for the asymptotic Borel map is provided in the framework of general Carleman ultraholomorphic classes in narrow sectors. Such operators were already obtained by V.
Lastra Sedano, Alberto   +2 more
core   +1 more source

The accurate numerical inversion of laplace transforms [PDF]

open access: yes, 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
core   +4 more sources

A Fourier-Borel transform for monogenic functionals [PDF]

open access: yes, 2016
We discuss the Fourier-Borel transform for the dual of spaces of monogenic functions. This transform may be seen as a restriction of the classical Fourier-Borel transform for holomorphic functionals, and it transforms spaces of monogenic functionals into
SOMMEN, FRANCISCUS CATHARINA   +3 more
core   +1 more source

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