  In this paper, the fractional differential matrices based on the Jacobi-Gauss
points are derived with respect to the Caputo and Riemann-Liouville fractional
derivative operators. The spectral radii of the fractional differential
matrices are investigated numerically. The spectral collocation schemes are
illustrated to solve the fractional ordinary differential equations and
fractional partial differential equations. Numerical examples are also
presented to illustrate the effectiveness of the derived methods, which show
better performances over some existing methods.
