Fractional-order Bernoulli wavelets for solving the fractional Bagley-Torvik equation arising in fluid mechanics

In this paper, a new numerical method for solving the fractional Bagley-Torvik equation is presented. The method is based upon fractional-order Bernoulli wavelets approximation. The Riemann-Liouville fractional integral operator for FBWs is introduced. This operator is then utilized to reduce the solution of the initial and boundary value problems for the fractional Bagley-Torvik differential equation to a system of algebraic equations.