DSpace@Çankaya

Yazar "Zeng, Sheng-Da" için Matematik Bölümü listeleme

Yazar "Zeng, Sheng-Da" için Matematik Bölümü listeleme

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  • A New Application of the Fractional Logistic Map 
    Huang, Lan-Lan; Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da (Editura Academiei Romane, 2016)
    The fractional chaotic map started to be applied in physics and engineering to properly treat some real-world phenomena. A shuffling method is proposed based on the fractional logistic map. The fractional difference order ...
  • Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations 
    Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da (Pergamon-Elsevier Science LTD, 2017-09)
    This paper investigates chaotic behavior and stability of fractional differential equations within a new generalized Caputo derivative. A semi-analytical method is proposed based on Adomian polynomials and a fractional ...
  • Discrete Chaos in Fractional Sine and Standard Maps 
    Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da (Elsevier Science, 2014-01-24)
    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 ...
  • Discrete fractional diffusion equation 
    Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da; Deng, Zhen-Guo (Springer, 2015-04)
    The tool of the discrete fractional calculus is introduced to discrete modeling of diffusion problem. A fractional time discretization diffusion model is presented in the Caputo-like delta's sense. The numerical formula ...
  • Discrete Fractional Diffusion Equation of Chaotic Order 
    Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Zeng, Sheng-Da (World Scientific Publ CO PTE LTD, 2016-01)
    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 ...
  • Finite-Time Stability of Discrete Fractional Delay Systems: Gronwall Inequality and Stability Criterion 
    Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da (Elsevier, 2018-04)
    This study investigates finite-time stability of Caputo delta fractional difference equations. A generalized Gronwall inequality is given on a finite time domain. A finite-time stability criterion is proposed for fractional ...
  • Fractional differential equations of Caputo-Katugampola type and numerical solutions 
    Zeng, Sheng-Da; Baleanu, Dumitru; Bai, Yunru; Wu, Guo-Cheng (Elsevier Science INC, 2017-12-15)
    This paper is concerned with a numerical method for solving generalized fractional differential equation of Caputo-Katugampola derivative. A corresponding discretization technique is proposed. Numerical solutions are ...
  • Lattice fractional diffusion equation in terms of a Riesz-Caputo difference 
    Wu, Guo-Cheng; Baleanu, Dumitru; Deng, Zhen-Guo; Zeng, Sheng-Da (Elsevier Science Bv, 2015-11-15)
    A fractional difference is defined by the use of the right and the left Caputo fractional differences. The definition is a two-sided operator of Riesz type and introduces back and forward memory effects in space difference. ...
  • Lattice fractional diffusion equation of random order 
    Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Zeng, Sheng-Da (Wiley, 2017-11-30)
    The discrete fractional calculus is used to fractionalize difference equations. Simulations of the fractional logistic map unravel that the chaotic solution is conveniently obtained. Then a Riesz fractional difference is ...
  • Mittag-Leffler function for discrete fractional modelling 
    Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da; Luo, Wei-Hua (Elsevier Science BV, 2016-01)
    From the difference equations on discrete time scales, this paper numerically investigates one discrete fractional difference equation in the Caputo delta's sense which has an explicit solution in form of the discrete ...
  • Several fractional differences and their applications to discrete maps 
    Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da (2015)
    Several definitions of fractional differences are discussed. Their applications to fractional maps are compared. As an example, the logistic equation of integer order is discretized by these fractional difference methods. ...