Fractal Calculus on Fractal Interpolation Functions

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...

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Bibliographic Details
Published inFractal and fractional Vol. 5; no. 4; p. 157
Main Authors Gowrisankar, Arulprakash, Khalili Golmankhaneh, Alireza, Serpa, Cristina
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.12.2021
Subjects
Approximation
Calculus
fractal calculus
fractal dimensions
fractal interpolation function
Fractals
Graphical representations
Interpolation
weierstrass function
Weierstrass functions
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Summary: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.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract5040157