Fractal Calculus on Fractal Interpolation Functions
A. Gowrisankar, Alireza Khalili Golmankhaneh, Cristina Serpa
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.
Topics & Concepts
FractalMathematicsCalculus (dental)Fractal derivativeInterpolation (computer graphics)Fractional calculusFractal dimension on networksPure mathematicsFractal dimensionFractal analysisMathematical analysisComputer scienceMotion (physics)Artificial intelligenceDentistryMedicineMathematical Dynamics and FractalsFractional Differential Equations SolutionsAdvanced Mathematical Theories and Applications