3 papers
math.CA2025
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…
math.AP2024
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…
math.NA2023
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…