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Fractal calculus on fractal interpolation functions

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Abstract(s)

In this paper, fractal calculus, which is called F α -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.

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Fractal calculus Fractal dimensions Weierstrass function Fractal interpolation function

Citation

GOWRISANKAR, Arulprakash; GOLMANKHANEH, Alireza Khalili; SERPA, Cristina – Fractal calculus on fractal interpolation functions. Fractal and Fractional, Vol. 5, N.º 4 (2021), pp. 1-15

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MDPI

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