Fractal calculus on fractal interpolation functions

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Gowrisankar A., Khalili Golmankhaneh A., Serpa C.

Fractal and Fractional, vol.5, no.4, 2021 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 5 Issue: 4
  • Publication Date: 2021
  • Doi Number: 10.3390/fractalfract5040157
  • Journal Name: Fractal and Fractional
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, Directory of Open Access Journals
  • Keywords: Fractal calculus, Fractal dimensions, Fractal interpolation function, Weierstrass function
  • Open Archive Collection: AVESIS Open Access Collection
  • Van Yüzüncü Yıl University Affiliated: Yes

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.