WoS İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653
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Article Citation - WoS: 137Citation - Scopus: 151Variational Iteration Method for the Burgers' Flow With Fractional Derivatives-New Lagrange Multipliers(Elsevier Science inc, 2013) Baleanu, Dumitru; Wu, Guo-ChengThe 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: 152Citation - Scopus: 161Lyapunov Functions for Riemann-Liouville Fractional Difference Equations(Elsevier Science inc, 2017) Baleanu, Dumitru; Luo, Wei-Hua; Wu, Guo-ChengDiscrete memory effects are introduced by fractional difference operators. Asymptotic stabilities of nonlinear fractional difference equations are investigated in this paper. A linear scalar fractional difference equality is utilized. Lyapunov second direct method is proposed for nonlinear discrete fractional systems. Asymptotic stability conditions are provided and some examples are given. (C) 2017 Elsevier Inc. All rights reserved.Article Citation - WoS: 18Citation - Scopus: 19Variational Iteration Method as a Kernel Constructive Technique(Elsevier Science inc, 2015) Baleanu, Dumitru; Deng, Zhen-Guo; Wu, Guo-ChengThe variational iteration method newly plays a crucial role in establishing new integral equations. The Lagrange multipliers of the method serve kernel functions of the Volterra integral equations. A concept of an optimal integral equation is proposed. Then nonlinear examples are used to show the strategy's efficiency. (C) 2014 Elsevier Inc. All rights reserved.