INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]
This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core
Theorems on n-dimensional Laplace transforms and their applications
In the present paper we prove certain theorems involving the classical Laplace transform of $n$-variables. The theorems are then shown to yield a nice algorithm for evaluating $n$-dimensional Laplace transform pairs.
R. S. Dahiya, Jafar Saberi-Nadjafi
doaj
The Tsallis-Laplace transform [PDF]
We introduce here the q-Laplace transform as a new weapon in Tsallis’ arsenal, discussing its main properties and analyzing some examples. The q-Gaussian instance receives special consideration. Also, we derive the q-partition function from the q-Laplace
Rocca, Mario Carlos +1 more
core
[[abstract]]The main aim of this paper is to establish a theorem which asserts an interesting relationship between the multidimensional Laplace transform, the multidimensional Varma transform and the generalized Weyl fractional integral involving product
Mathur,Trilok, Goyal,S. P.
core
Experiments With the Laplace Transform
Using Maple or Mathmatica, learner should be able to study the Laplace transform and use it to examine both an ordinary differential equation problem and a problem for the one-dimensional heat equation on a semi-infinite ...
Smith, David
core
Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals [PDF]
This article proposes Laplace transform-homotopy perturbation method (LTHPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions.
ALEJANDRO DIAZ SANCHEZ
core
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform. [PDF]
Kim AS.
europepmc +1 more source
Laplace Distributors and Laplace Transformations for Differential Categories
In a differential category and in Differential Linear Logic, the exponential conjunction ! admits structural maps, characterizing quantitativeoperations and symmetric co-structural maps, characterizing differentiation. In this paper, we introduce the notion of a Laplace distributor,which is an extra structural map which distributes the linear negation ...
Marie Kerjean, Jean-Simon Pacaud Lemay
openaire +4 more sources
Inverse Laplace transform and multiexponential fitting analysis of T2 relaxometry data: a phantom study with aqueous and fat containing samples. [PDF]
Ioannidis GS +5 more
europepmc +1 more source
Laplace-transforms. (XI). The singularities of Laplace-transforms. (III)
openaire +4 more sources

