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In this manuscript, we generalize F-calculus to apply it on fractal Tartanspaces. The generalized standard F-calculus is used to obtain the integral andderivative of the functions on the fractal Tartan with different dimensions.The generalized fractional derivatives have local properties that make it moreuseful in modelling physical problems. The illustrative examples are used topresent the details.

New Derivatives for the Functions with the Fractal Tartan Support