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Yazar "Wu, Guo-Cheng" için listeleme

Yazar "Wu, Guo-Cheng" için 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 ...
  • A Novel Shuffling Technique Based on Fractional Chaotic Maps 
    Bai, Yun-Ru; Baleanu, Dumitru; Wu, Guo-Cheng (Elsevier GMBH, Urban & Fischer Verlag, 2018)
    An image encryption technique based on the fractional logistic map is designed in this work. A novel shuffling technique is established by use of fractional chaotic signals. Then it is used to scramble pixel positions. The ...
  • Analysis Of Fractional Non-Linear Diffusion Behaviors Based On Adomian Polynomials 
    Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua (Vinca Inst Nuclear Sci, 2017)
    A time-fractional non-linear diffusion equation of two orders is considered to investigate strong non-linearity through porous media. An equivalent integral equation is established and Adomian polynomials are adopted to ...
  • Applications of Short Memory Fractional Differential Equations with Impulses 
    Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru (2023)
    Dynamical systems’ behavior is sometimes varied with some impulse and sudden changes in process. The dynamics of these systems can not be modeled by previous concepts of derivative or fractional derivatives any longer. The ...
  • 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 ...
  • Chaos synchronization of fractional chaotic maps based on the stability condition 
    Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai (Elsevier Science Bv, 2016-10-15)
    In the fractional calculus, one of the main challenges is to find suitable models which are properly described by discrete derivatives with memory. Fractional Logistic map and fractional Lorenz maps of Riemann-Liouville ...
  • Chaos synchronization of the discrete fractional logistic map 
    Wu, Guo-Cheng; Baleanu, Dumitru (2014-09)
    In this paper, master-slave synchronization for the fractional difference equation is studied with a nonlinear coupling method. The numerical simulation shows that the designed synchronization method can effectively ...
  • Chaos Synchronization of the Fractional Rucklidge System Based On New Adomian Polynomials 
    Wu, Guo-Cheng; Baleanu, Dumitru; Huang, L. L. (L and H Scientific Publishing, LLC, 2017)
    The fractional Rucklidge system is a new kind of chaotic models which hold the feature of memory effects and can depict the long history interactions. A numerical formula is proposed by use of the fast Adomian polynomials. ...
  • Collocation methods for terminal value problems of tempered fractional differential equations 
    Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru (2020-10)
    A class of tempered fractional differential equations with terminal value problems are investigated in this paper. Discretized collocation methods on piecewise polynomials spaces are proposed for solving these equations. ...
  • Discrete chaos in fractional delayed logistic maps 
    Wu, Guo-Cheng; Baleanu, Dumitru (Springer, 2015-06)
    Recently the discrete fractional calculus (DFC) started to gain much importance due to its applications to the mathematical modeling of realworld phenomena with memory effect. In this paper, the delayed logistic equation ...
  • 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 calculus for interval-valued systems 
    Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong (2021-02-01)
    This study investigates linear fractional difference equations with respect to interval-valued functions. Caputo and Riemann-Liouville differences are defined. w-monotonicity is introduced and discrete Leibniz integral ...
  • 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 ...
  • Discrete fractional logistic map and its chaos 
    Wu, Guo-Cheng; Baleanu, Dumitru (2014-01)
    A discrete fractional logistic map is proposed in the left Caputo discrete delta's sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated.
  • Existence and Discrete Approximation for Optimization Problems Governed By Fractional Differential Equations 
    Bai, Yunru; Baleanu, Dumitru; Wu, Guo-Cheng (Elsevier Science BV, 2018-06)
    We investigate a class of generalized differential optimization problems driven by the Caputo derivative. Existence of weak Caratheodory solution is proved by using Weierstrass existence theorem, fixed point theorem and ...
  • Existence Results of Fractional Differential Equations with Riesz-Caputo Derivative 
    Chen, Fulai; Baleanu, Dumitru; Wu, Guo-Cheng (Springer Heidelberg, 2017-12)
    This paper is concerned with a class of boundary value problems for fractional differential equations with the Riesz-Caputo derivative, which holds two-sided nonlocal effects. By means of a new fractional Gronwall inequalities ...
  • 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 ...
  • FractionaI Impulsive Differential Equations: Exact Solutions, Integral Equations and Short Memory Case 
    Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru (Walter De Gruyter GMBH, 2019-02)
    Fractional impulsive differential equations are revisited first. Some fundamental solutions of linear cases are given in this study. One straightforward technique without using integral equation is adopted to obtain exact ...
  • 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 ...