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Frontiers of Electrical and Electronic Engineering

ISSN 2095-2732

ISSN 2095-2740(Online)

CN 10-1028/TM

Front. Electr. Electron. Eng.    2008, Vol. 3 Issue (2) : 214-217    https://doi.org/10.1007/s11460-008-0025-3
Closed-form solutions to fractional-order linear differential equations
ZHAO Chunna, XUE Dingyü
School of Information Science and Engineering, Northeastern University;
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Abstract The definitions and properties of widely used fractional-order derivatives are summarized in this paper. The characteristic polynomials of the fractional-order systems are pseudo-polynomials whose powers of the complex variable are non-integers. This kind of systems can be approximated by high-order integer-order systems, and can be analyzed and designed by the sophisticated integer-order systems methodology. A new closed-form algorithm for fractional-order linear differential equations is proposed based on the definitions of fractional-order derivatives, and the effectiveness of the algorithm is illustrated through examples.
Issue Date: 05 June 2008
 Cite this article:   
XUE Dingyü,ZHAO Chunna. Closed-form solutions to fractional-order linear differential equations[J]. Front. Electr. Electron. Eng., 2008, 3(2): 214-217.
 URL:  
https://academic.hep.com.cn/fee/EN/10.1007/s11460-008-0025-3
https://academic.hep.com.cn/fee/EN/Y2008/V3/I2/214
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