New Derivatives for the Functions with the Fractal Tartan Support

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.