A Spectral Collocation Method for Solving the Non-Linear Distributed-Order Fractional Bagley–Torvik Differential Equation

A Spectral Collocation Method for Solving the Non-Linear Distributed-Order Fractional Bagley–Torvik Differential Equation

One of the issues in numerical solution analysis is the non-linear distributed-order fractional Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We solve the problem by proposing a numerical solution based on the shifted Legendre Gauss–Lobatto (SL-GL) collocation t...

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Bibliographic Details
Main Authors: Ahmed Z. Amin, Mohamed A. Abdelkawy, Emad Solouma, Ibrahim Al-Dayel
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Fractal and Fractional
Subjects:
spectral collocation method
fractional Bagley–Torvik differential equation
Caputo fractional derivative
shifted Legendre polynomials
Online Access:https://www.mdpi.com/2504-3110/7/11/780

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