The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function

The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function have been calculated. And the linear relationship between the fractal dimensions of graphs of the Weierstrass-type function and the orders of their Weyl-Marchaud fractional derivative has been get. Graphs and numerical results of certain examples have further certificated this interesting relationship.