WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

Browse

Filters

20161

Settings

Scopus Q: search.filters.scopusQuartile.Q1Subject: search.filters.subject.Fractal Calculus

Search Results

Now showing 1 - 1 of 1
  • Article
    Citation - WoS: 44
    Citation - Scopus: 45
    Fractal Calculus Involving Gauge Function
    (Elsevier, 2016) Baleanu, Dumitru; Golmankhaneh, Alireza K.
    Henstock-Kurzweil integral or gauge integral is the generalization of the Riemann integral. The functions which are not integrable because of singularity in the senses of Lebesgue or Riemann are gauge integrable. In this manuscript, we have generalized F-alpha-calculus using the gauge integral method for the integrating of the functions on fractal set subset of real-line where they have singularities. The suggested new method leads to the wider class of functions on the fractal subset of real-line that are *F-alpha-integrable, Using gauge function we define *F-alpha-derivative of functions their *F-alpha-derivative is not exist. The reported results can be used for generalizing the fundamental theorem of F-alpha-calculus. (C) 2016 Elsevier B.V. All rights reserved.