Variable coefficient fractional partial differential equations by Base--Chebyshev method

In this paper, the invariant subspace method is generalized and improved and is then used together with the Chebyshev polynomial to approximate the solution of the non-linear, mixed fractional partial differential equations FPDEs  with constant, non-constant coefficients. Some examples are given here to illustrate the efficiency of this method.

Keywords:

fractional partial differential equation , Caputo fractional derivative , invariant subspace method , Chebyshev polynomial approximate