Title: New Derivatives for the Functions with the Fractal Tartan Support,
Abstract: In this manuscript, we generalize F-calculus to apply it on fractal Tartan
spaces. The generalized standard F-calculus is used to obtain the integral and
derivative of the functions on the fractal Tartan with different dimensions.
The generalized fractional derivatives have local properties that make it more
useful in modelling physical problems. The illustrative examples are used to
present the details.