The Numerical Solution of the Fractional Bagley–Torvik Equation by the Boubaker Wavelets

K Rabiei,M Razzaghi

doi:10.1007/978-3-030-96787-1_3

The Numerical Solution of the Fractional Bagley–Torvik Equation by the Boubaker Wavelets

K Rabiei, M Razzaghi

https://doi.org/10.1007/978-3-030-96787-1_3

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Publication Date: Jan 1, 2022

Affiliation: Mississippi State University

#Fractional Bagley Torvik Equation #Riemann–Liouville Fractional Integral Operator + Show 8 more

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Abstract

AbstractIn this paper, a new numerical scheme to solve the fractional Bagley–Torvik equation is presented. The technique is based upon wavelets approximation. The properties of Boubaker wavelets are given. The exact value of the Riemann–Liouville fractional integral operator (RLFIO) for Boubaker wavelets is introduced. Then this operator is utilized to transform the fractional Bagley–Torvik differential equation into a set of algebraic equations. Two examples are solved using the present method to demonstrate the exactness of the technique.KeywordsFractional Bagley–Torvik equationBoubaker waveletsCaputo derivativeNumerical solution

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