Effects of Fractional Damping of Love Waves in an Inhomogeneous Layer in Double Layer Model

  • Sadia Munir*
  • , Ashfaque H. Bokhari
  • , F. D. Zaman
  • , Hamza Hameed
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number12
JournalActa Applicandae Mathematicae
Volume196
Issue number1
DOIs
StatePublished - 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

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