Results 11 to 20 of about 11,641,731 (252)
Solving Fractional Difference Equations Using the Laplace Transform Method
Abstract and Applied Analysis, 2014 We discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.
Li Xiao-yan, Jiang Wei
doaj +2 more sources
Laplace Transform Method for Pricing American CEV Strangles Option with Two Free Boundaries
Discrete Dynamics in Nature and Society, 2018 Laplace transform method (LTM) has a lot of applications in the evaluation of European-style options and exotic options without early exercise features.
Zhiqiang Zhou, Hongying Wu
doaj +2 more sources
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
core +6 more sources
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
, 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
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
core +1 more source
On the q-Laplace Transform and Related Special Functions
Axioms, 2016 Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, which is an extension of the well-known Laplace transform. In many circumstances, the kernel function to evaluate certain integral forms has been studied. In
Shanoja R. Naik, Hans J. Haubold
doaj +1 more source
Modified conformable double Laplace–Sumudu approach with applications
Heliyon, 2023 In this study, we combine two novel methods, the conformable double Laplace-Sumudu transform (CDLST) and the modified decomposition technique. We use the new approach called conformable double Laplace-Sumudu modified decomposition (CDLSMD) method, to ...
Shams A. Ahmed +3 more
doaj +1 more source
Matrix Laplace Transform Method and It Applications on Spring-Mass Systems
Journal Focus Action of Research Mathematic, 2020 There are several methods to solve an initial value problem of second-order homogenous linear systems of differential equations with constant coefficients. That are elimination method and matrix method.
Syamsul Arifin
doaj +1 more source
Advances in Mathematical Physics, 2022 The conformable fractional triple Laplace transform approach, in conjunction with the new Iterative method, is used to examine the exact analytical solutions of the (2 + 1)-dimensional nonlinear conformable fractional Telegraph equation.
Alemayehu Tamirie Deresse
doaj +1 more source