WoS İndeksli Yayınlar Koleksiyonu

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

Browse

Filters

2013 - 2019252020 - 20214

Settings

Author: search.filters.author.Wu, Guo-ChengScopus Q: search.filters.scopusQuartile.Q1

Search Results

Now showing 1 - 10 of 29
  • Article
    Citation - WoS: 464
    Citation - Scopus: 528
    Discrete Fractional Logistic Map and Its Chaos
    (Springer, 2014) Baleanu, Dumitru; Wu, Guo-Cheng
    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.
  • Article
    Citation - WoS: 51
    Citation - Scopus: 54
    Terminal Value Problems for the Nonlinear Systems of Fractional Differential Equations
    (Elsevier, 2021) Wu, Guo-Cheng; Baleanu, Dumitru; Shiri, Babak
    Terminal value problems of fractional nonlinear systems are studied in this paper. The existence and uniqueness are given. The regularity of the solution is obtained in the weighted spaces. Discretized piecewise polynomial collocation methods are proposed on the graded mesh. A convergence analysis and the order are presented. Numerical examples for supporting theoretical results and applications for population models are illustrated. (C) 2021 IMACS. Published by Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    Reprint Of: Chaos Synchronization of the Discrete Fractional Logistic Map
    (Elsevier, 2015) Baleanu, Dumitru; Wu, Guo-Cheng
    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 synchronize the fractional logistic map. The Caputo-like delta derivative is adopted as the difference operator. (C) 2014 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 63
    Citation - Scopus: 70
    New Fractional Signal Smoothing Equations With Short Memory and Variable Order
    (Elsevier Gmbh, 2020) Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru; Ma, Chang-You
    In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.
  • Article
    Citation - WoS: 95
    Citation - Scopus: 114
    Collocation Methods for Terminal Value Problems of Tempered Fractional Differential Equations
    (Elsevier, 2020) Wu, Guo-Cheng; Baleanu, Dumitru; Shiri, Babak
    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. Regularity results are constructed on weighted spaces and convergence order is studied. Several examples are supported the theoretical parts and compared with other methods. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 153
    Citation - Scopus: 162
    Chaos Synchronization of the Discrete Fractional Logistic Map
    (Elsevier, 2014) Baleanu, Dumitru; Wu, Guo-Cheng
    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 synchronize the fractional logistic map. The Caputo-like delta derivative is adopted as the difference operator. (C) 2014 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 66
    Citation - Scopus: 75
    Some Further Results of the Laplace Transform for Variable-Order Fractional Difference Equations
    (Springernature, 2019) Wu, Guo-Cheng; Baleanu, Dumitru
    The Laplace transform is important for exact solutions of linear differential equations and frequency response analysis methods. In comparison with the continuous-time systems, less results can be available for fractional difference equations. This study provides some fundamental results of two kinds of fractional difference equations by use of the Laplace transform. Some discrete Mittag-Leffler functions are defined and their Laplace transforms are given. Furthermore, a class of variable-order and short memory linear fractional difference equations are proposed and the exact solutions are obtained.
  • Article
    Citation - WoS: 78
    Citation - Scopus: 88
    Spline Collocation Methods for Systems of Fuzzy Fractional Differential Equations
    (Pergamon-elsevier Science Ltd, 2020) Baleanu, Dumitru; Shiri, Babak; Wu, Guo-Cheng; Alijani, Zahra
    In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application. (C) 2019 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 137
    Citation - Scopus: 151
    Variational Iteration Method for the Burgers' Flow With Fractional Derivatives-New Lagrange Multipliers
    (Elsevier Science inc, 2013) Baleanu, Dumitru; Wu, Guo-Cheng
    The flow through porous media can be better described by fractional models than the classical ones since they include inherently memory effects caused by obstacles in the structures. The variational iteration method was extended to find approximate solutions of fractional differential equations with the Caputo derivatives, but the Lagrange multipliers of the method were not identified explicitly. In this paper, the Lagrange multiplier is determined in a more accurate way and some new variational iteration formulae are presented. (C) 2013 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 31
    Citation - Scopus: 36
    Mittag-Leffler Function for Discrete Fractional Modelling
    (Elsevier, 2016) Baleanu, Dumitru; Zeng, Sheng-Da; Luo, Wei-Hua; Wu, Guo-Cheng
    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 Mittag-Leffler function. The exact numerical values of the solutions are given in comparison with the truncated Mittag-Leffler function. (C) 2015 The Authors. Production and hosting by Elsevier B.V. on behalf of King Saud University.