" Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
Ü Lepik - Applied Mathematics and Computation, 2009 - Elsevier
Haar wavelets for the solution of fractional integral equations are applied. Fractional Volterra and Fredholm integral equations are considered. The proposed method also is used for …
S Zhou, H Li, Z Zhu - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, an algorithm of numerical solution for fractional differential equations is presented. Chaos in a neuron network system is also illustrated. Moreover, chaos feedback …
MK Bouafoura, NB Braiek - … in Nonlinear Science and Numerical Simulation, 2010 - Elsevier
This paper deals with the design of fractional PID controller for integer and fractional plants. A new analytic method is proposed, the developments are based on the expansion of the …
Y Tang, X Zhang, C Hua, L Li, Y Yang - Physics Letters A, 2012 - Elsevier
Chaos can be observed in fractional-order nonlinear systems with appropriate orders. The knowledge about the parameters and orders are the basis of the control and synchronization …
FA Guerra, LS Coelho - Chaos, Solitons & Fractals, 2008 - Elsevier
An important problem in engineering is the identification of nonlinear systems, among them radial basis function neural networks (RBF-NN) using Gaussian activation functions models …
A Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional …
This research study aims to enhance the optimization accuracy of the two recently emerged metaheuristics of whale and sine–cosine optimizers by means of the balanced …
JF Chang, YS Yang, TL Liao, JJ Yan - Expert Systems with Applications, 2008 - Elsevier
This paper is concerned with the parameter identification problem for chaotic systems. An evolutionary programming (EP) approach is newly introduced to solve this problem. The …