Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Abstract
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation. Furthermore, as special examples, solutions to some specific Bagley–Torvik‐type problems have been obtained. As the solutions acquired by this method coincide well with those obtained by previous methods, the Tarig transform is an efficient, simple method with a high level of accuracy.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Nonlinear Waves and Solitons
Advanced Control Systems Design
Publication details
- Journal / source
- Journal of Applied Mathematics
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN