Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

This article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and science. Using the Laplace transform for solvin...

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Bibliographic Details
Main Authors: Dania Santina, Kamran, Muhammad Asif, Salma Aljawi, Nabil Mlaiki
Format: Article
Language:English
Published: Elsevier 2024-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Laplace transform
Inverse Laplace transform
General Bagley–Torvik equation
Zakian’s method
Gauss–Hermite quadrature method
Fourier series method
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124000500

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http://www.sciencedirect.com/science/article/pii/S2666818124000500

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