Fractal Calculus on Fractal Interpolation Functions

Abstract

In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus. Graphical representations of fractal calculus of fractal interpolation functions and Weierstrass functions are presented.

Keywords

• fractal calculus
• fractal dimensions
• weierstrass function
• fractal interpolation function