Results 71 to 80 of about 2,202,041 (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   +1 more source

Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

Mathematics, 2016
In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

On an application of Laplace transforms

New Trends in Mathematical Science, 2017
In this study, complex differential equations are solved using laplace transform. Firstly we seperate real and imaginer parts of equation. Thus from one unknown equation is obtained two unknown equation system. Later we obtain laplace transforms of real and imaginer parts of solutions using laplace transform.
openaire   +4 more sources

Certain Inversion Formulas for the Laplace Transform [PDF]

, 1950
Dennis B. Ames
openalex   +2 more sources

Theoretical investigation on resonance characteristics of a vapor bubble based on Laplace transform method. [PDF]

Ultrason Sonochem, 2023
Wang X, Du X, Gao D, Zhang Y, Chen T, Zhang Y.   +5 more
europepmc   +1 more source

Birth–Death Processes with Two-Type Catastrophes

Mathematics
This paper concentrates on the general birth–death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth–death processes with two-type catastrophes is successfully expressed with the ...
Junping Li
doaj   +1 more source

Time of ruin in a risk model with generalized Erlang (n) interclaim times and a constant dividend barrier [PDF]

In this paper we analyze the time of ruin in a risk process with the interclaim times being Erlang(n) distributed and a constant dividend barrier. We obtain an integro-differential equation for the Laplace Transform of the time of ruin.
M. Mercedes Claramunt Bielsa, Maite Teresa Marmol Jimenez   +1 more
core   +1 more source

About Inverse Laplace Transform of a Dynamic Viscosity Function. [PDF]

Materials (Basel), 2022
Urbanowicz K, Bergant A, Grzejda R, Stosiak M.   +3 more
europepmc   +1 more source

On the Discrete Laplace Transform

Results in Nonlinear Analysis, 2019
The objective of this paper is to introduce the discrete Laplace transform. Basic theorems related to this transformation are mentioned and the discrete Laplace transform of basic functions are given.
Raad Ameen, Hasan Köse, Fahd Jarad
doaj  

Variational iteration method for fractional calculus - a universal approach by Laplace transform

, 2013
A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically
Guo-cheng Wu, D. Baleanu
semanticscholar   +1 more source