Numerical Approach for Bagley- Torvik Fractional Differential Equations Using Haar Wavelets

Abstract

In this paper we consider Bagley-Torvik fractional differential equations, which are arising in the modeling of motion of rigid plate immersed in a Newtonian fluid. The main attribution of our content is that \u00a0it \u00a0transforms \u00a0the \u00a0fractional \u00a0differential \u00a0equations \u00a0to \u00a0a \u00a0system \u00a0of \u00a0algebraic \u00a0equations \u00a0without \u00a0any restrictions and assumptions. Theoretical results are authenticated by five numerical examples of both linear and \u00a0nonlinear. \u00a0To \u00a0demonstrate \u00a0the \u00a0accuracy \u00a0and \u00a0efficiency \u00a0of \u00a0the \u00a0Haar \u00a0wavelet \u00a0collocation \u00a0method \u00a0and results are compared with the existing methods.