Results 51 to 60 of about 209,969 (187)

Quadrature formulas for the Laplace and Mellin transforms [PDF]

arXiv, 2007
A discrete Laplace transform and its inversion formula are obtained by using a quadrature of the continuous Fourier transform which is given in terms of Hermite polynomials and its zeros. This approach yields a convergent discrete formula for the two-sided Laplace transform if the function to be transformed falls off rapidly to zero and satisfy certain
arxiv  

Applications of Laplace Transforms and their Inverses [PDF]

, 1972
Charles W. Fox
openalex   +2 more sources

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 a Method for Solving Infinite Series [PDF]

arXiv, 2014
This paper is about a method for solving infinite series in closed form by using inverse and forward Laplace transforms. The resulting integral is to be solved instead. The method is extended by parametrizing the series. A further Laplace transform with respect to it will offer more options for solving a series.
arxiv  

On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms [PDF]

, 2005
Mohammad Masjed‐Jamei, Mehdi Dehghan
openalex   +3 more sources

A Note on Some Novel Laplace and Stieltjes Transforms Associated with the Relaxation Modulus of the Andrade Model

Axioms
In the framework of linear viscoelasticity, the authors have previously calculated a novel inverse Laplace transform involving the Mittag–Leffler function in order to calculate the relaxation modulus in the Andrade model. Here, we generalize this result,
Juan Luis González-Santander, Alexander Apelblat   +1 more
doaj   +1 more source

Laplace transformation updated [PDF]

arXiv, 2005
The traditional theory of Laplace transformation in its currently prevalent form is unsatisfactory. Its deficiencies can be traced back to a mismatch of the definition intervals of the original function and of the inverse L-transform. A new approach is outlined by which Laplace transformation becomes liberated from its inconsistencies.
arxiv  

Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

Partial Differential Equations in Applied Mathematics
This article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina, Kamran, Muhammad Asif, Salma Aljawi, Nabil Mlaiki   +4 more
doaj  

Theorems on association of variables in multidimensional Laplace transforms

International Journal of Mathematics and Mathematical Sciences, 1989
The inverse of the multidimensional Laplace transform is often obtained by the method of association of variables. In this paper, some basic theorems are developed for evaluating the associated transform of certain types of transformed functions.
Joyati Debnath, Narayan Chandra Debnath
doaj   +1 more source

Existence and uniqueness for a kind of nonlocal fractional evolution equations on the unbounded interval

Boundary Value Problems, 2018
By means of a Laplace transform and its inverse transform, we obtain a correct equivalent integral equation for some kind of nonlocal abstract differential equations (fractional order) on the right half-axis.
Zhanmei Lv, Yanping Gong, Yi Chen
doaj   +1 more source