On solutions of fractional differential equations for the mechanical oscillations by using the Laplace transform

On solutions of fractional differential equations for the mechanical oscillations by using the Laplace transform

In this article, we employ the Laplace transform (LT) method to study fractional differential equations with the problem of displacement of motion of mass for free oscillations, damped oscillations, damped forced oscillations, and forced oscillations (without damping). These problems are solved by u...

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Bibliographic Details
Main Authors: Changdev P. Jadhav, Tanisha B. Dale, Vaijanath L. Chinchane, Asha B. Nale, Sabri T. M. Thabet, Imed Kedim, Miguel Vivas-Cortez
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
fractional derivative
laplace transform
fractional differential equations
oscillations
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241562?viewType=HTML
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