Fractal calculus of functions on cantor tartan spaces

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Khalili Golmankhaneh A., Fernandez A.

Fractal and Fractional, cilt.2, sa.4, ss.1-13, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3390/fractalfract2040030
  • Dergi Adı: Fractal and Fractional
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-13
  • Anahtar Kelimeler: Cantor tartan, Fη-calculus, Fractional differential equation, Staircase function
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this manuscript, integrals and derivatives of functions on Cantor tartan spaces are defined. The generalisation of standard calculus, which is called Fη-calculus, is utilised to obtain definitions of the integral and derivative of functions on Cantor tartan spaces of different dimensions. Differential equations involving the new derivatives are solved. Illustrative examples are presented to check the details.