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Based on the superconvergent approximation at some point (depending on the fractional order α, but not belonging to the mesh points) for Grünwald discretization to fractional derivative, we develop a series of high‐order quasi‐compact schemes for space fractional diffusion equations. Because of the quasi‐compactness of the derived schemes, no points beyond the domain are used for all the high‐order...
This article deals with modeling and identification of fractional systems in the time domain. Fractional state-space representation is defined, and a stability condition for fractional systems given. A new identification method for fractional systems is then proposed. The method is based on the generalization to fractional orders of classical methods based on State Variable Filters (SVF). A particular...
This paper deals with the computation of rational approximations of fractional derivatives and/or integrals and time domain analysis of fractional order systems. The objective is to compute the output signals of systems which represented by fractional order transfer functions. Therefore, all rational approximations for fractional order of 0.1, 0.2,..., 0.9 are obtained using continued fraction expansion...
This contribution deals with the fractional-order chaotic systems. A survey of the chaotic systems, where total order of the system is less than 3 is presented. With using a fractional derivative a chaos can be observed in such system in spite of usual notation that chaos can occur in system with order 3 and more. A numerical method for strange attractors computation is presented as well.
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