WoS İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.MdpiSubject: search.filters.subject.Fractal Calculus

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  • Article
    Citation - WoS: 31
    Citation - Scopus: 36
    New Derivatives on the Fractal Subset of Real-Line
    (Mdpi, 2016) Baleanu, Dumitru; Golmankhaneh, Alireza Khalili
    In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets. The non-local Laplace transformation is given and applied for solving linear and non-linear fractal equations. The advantage of using these new nonlocal derivatives on the fractals subset of real-line lies in the fact that they are better at modeling processes with memory effect.