Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Zeng, Sheng-DaScopus Q: search.filters.scopusQuartile.Q2

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  • Article
    Citation - WoS: 134
    Citation - Scopus: 147
    Discrete Chaos in Fractional Sine and Standard Maps
    (Elsevier, 2014) Baleanu, Dumitru; Zeng, Sheng-Da; Wu, Guo-Cheng
    Fractional standard and sine maps are proposed by using the discrete fractional calculus. The chaos behaviors are then numerically discussed when the difference order is a fractional one. The bifurcation diagrams and the phase portraits are presented, respectively. (C) 2013 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 26
    Discrete Fractional Diffusion Equation of Chaotic Order
    (World Scientific Publ Co Pte Ltd, 2016) Baleanu, Dumitru; Xie, He-Ping; Zeng, Sheng-Da; Wu, Guo-Cheng
    Discrete fractional calculus is suggested in diffusion modeling in porous media. A variable-order fractional diffusion equation is proposed on discrete time scales. A function of the variable order is constructed by a chaotic map. The model shows some new random behaviors in comparison with other variable-order cases.