14 citations · 32 across the 5 of their papers we have counts for
5 papers
A Closed-form Approximation for Impulse Response of Fractionally Damped Oscillators
Shashank Pathak, Michael Ruzhansky, Karel Van Bockstal
We consider a fractionally damped oscillator, where the damping term is expressed by the Caputo fractional derivative of order The impulse response of this oscillator…
On time-fractional partial differential equations of time-dependent piecewise constant order
Yavar Kian, Marián Slodička, Éric Soccorsi +1
This contribution considers the time-fractional subdiffusion with a time-dependent variable-order fractional operator of order . It is assumed that is a piecewise cons…
On the Rothe-Galerkin spectral discretisation for a class of variable fractional-order nonlinear wave equations
Karel Van Bockstal, Mahmoud A. Zaky, Ahmed S. Hendy
In this contribution, a wave equation with a time-dependent variable-order fractional damping term and a nonlinear source is considered. Avoiding the circumstances of expressing th…
A numerical scheme for solving an induction heating problem with moving non-magnetic conductor
Van Chien Le, Marián Slodička, Karel Van Bockstal
This paper investigates an induction heating problem in a multi-component system containing a moving non-magnetic conductor. The electromagnetic process is described by the eddy cu…
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation
Frederick Maes, Karel Van Bockstal
In this article, we study the existence and uniqueness of a weak solution to the fractional single-phase lag heat equation. This model contains the terms and $\c…