Abstract
The main aim of this paper is to introduce an accurate collocation method for solving a class of variable-order fractional differential equations arising in turbulent fluid dynamics. The proposed approach is based on Jacobi wavelets (JWs) collocation procedure in conjunction with the JWs operational matrix of variable-order fractional derivative. This approach can be seen as a generalization of other wavelet operational approaches, e.g. Chebyshev wavelets of first kind, Chebyshev wavelets of second kind, Legendre wavelets, Gegenbauer wavelets, etc., which are special cases of JWs. The proposed method is implemented for solving the variable-order fractional Basset and Bagley-Torvik equations.