Abstract
This study examines the propagation of Love waves in two layer model, consisting of an inhomogeneous isotropic upper layer with damping, overlying a homogeneous lower layer and a homogeneous half-space. To provide a more flexible measure of damping, fractional damping is introduced in the upper layer using Caputo derivative. The Laplace transform and Green’s function approach are employed to derive the displacement in the upper layer in transformed plane. The inverse Laplace transform is computed numerically using Stehfest’s algorithm and results are presented through numerical simulations and graphical illustrations.
| Original language | English |
|---|---|
| Article number | 12 |
| Journal | Acta Applicandae Mathematicae |
| Volume | 196 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 2025 |
Bibliographical note
Publisher Copyright:© The Author(s), under exclusive licence to Springer Nature B.V. 2025.
Keywords
- Caputo derivative
- Fractional damping
- Laplace transform
- Love waves
- Stehfest’s algorithm
ASJC Scopus subject areas
- Applied Mathematics