On the variable order Weyl-Marchaud fractional derivative of non-affine fractal function

The fractal technique is applied to study a wide variety of phenomena in the universe. In particular, fractal techniques can be generalized through traditional approaches to spatial interpolation. This article demonstrates the Weyl-Marchaud fractional derivative of variable order 0 < zeta(z) <1 of non-affine fractal function with variable scaling factor and base functions. Moreover, the significance of variable scaling factor in the flexibility of fractal function and their variable order Weyl-Marchaud fractional derivatives is presented with numerical simulations.