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The Singularity Expansion Method applied to the transient motions of a floating elastic plate

Christophe Hazard, François Loret (2007)

ESAIM: Mathematical Modelling and Numerical Analysis

In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called Singularity Expansion Method. This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles...

The space of Laplace transformable distributions

Swartz, Charles (1970)

Portugaliae mathematica

The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions

Domingo Israel Cruz-Báez, Josemar Rodríguez (1998)

Commentationes Mathematicae Universitatis Carolinae

An integral transform denoted by $ℒ_{ν}^{(ρ)}$ that generalizes the well-known Laplace and Meijer transformations, is studied in this paper on certain spaces of generalized functions introduced by A.C. McBride by employing the adjoint method.

Theorem on association of variables in multidimensional Laplace transforms.

Debnath, Joyati, Debnath, Narayan Chandra (1989)

International Journal of Mathematics and Mathematical Sciences

Theorems on $n$ -dimensional Laplace transforms and their applications.

Dahiya, R.S., Saberi-Nadjafi, Jafar (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Theorems on some families of fractional differential equations and their applications

Gülçin Bozkurt, Durmuş Albayrak, Neşe Dernek (2019)

Applications of Mathematics

We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration...

Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey

Mainardi, Francesco, Gorenflo, Rudolf (2007)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...

Transfer of connection problems for first level solutions of merimorphic differential equations, and associated Laplace transforms.

W.B. Jurkat, W. Balser, D.A. Lutz (1983)

Journal für die reine und angewandte Mathematik

Displaying 21 – 31 of 31

The Singularity Expansion Method applied to the transient motions of a floating elastic plate

The space of Laplace transformable distributions

The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions

Theorem on association of variables in multidimensional Laplace transforms.

Theorems on $n$ -dimensional Laplace transforms and their applications.

Theorems on some families of fractional differential equations and their applications

Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey

Transfer of connection problems for first level solutions of merimorphic differential equations, and associated Laplace transforms.

Transformations de Laplace et de Mellin. Formulaires. Mode d'utilisation [Book]

Transformations de Laplace sur des sous-variétés de $C^{n}$ et représentations d’ondes entrantes et sortantes

Two dimensional Laplace transforms of generalized hypergeometric functions.

Currently displaying 21 – 31 of 31