Browsing by Author "Luo, Wei-Hua"

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Analysis Of Fractional Non-Linear Diffusion Behaviors Based On Adomian Polynomials
(Vinca inst Nuclear Sci, 2017) Wu, Guo-Cheng; Baleanu, Dumitru; Baleanu, Dumitru; Luo, Wei-Hua; 56389
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 linearize non-linear terms. With the Taylor expansion of fractional order, recurrence formulae are proposed and novel numerical solutions are obtained to depict the diffusion behaviors more accurately. The result shows that the method is suitable for numerical simulation of the fractional diffusion equations of multi-orders.
Lyapunov functions for Riemann-Liouville-like fractional difference equations
(Elsevier Science inc, 2017) Wu, Guo-Cheng; Baleanu, Dumitru; Baleanu, Dumitru; Luo, Wei-Hua; 56389
Discrete 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.
Mittag-Leffler function for discrete fractional modelling
(Elsevier, 2016) Wu, Guo-Cheng; Baleanu, Dumitru; Baleanu, Dumitru; Zeng, Sheng-Da; Luo, Wei-Hua; 56389
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.
New Adomian Solutions for Two Point Value Problems of Fractional Order
(Ieee, 2016) Wu, Guo-Cheng; Baleanu, Dumitru; Baleanu, Dumitru; Luo, Wei-Hua; 56389
Analytical solutions of fractional differential equations of two point value problems are considered. An equivalent integral equation of fractional order is used. The nonlinear term is linearized by Adomian polynomials. Approximation solutions are given successively and the error analysis is given. The results show that the new way is simple and efficient.