Closed-form solutions to fractional-order linear differential equations

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  • School of Information Science and Engineering, Northeastern University;

Published date: 05 Jun 2008

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.

Cite this article

ZHAO Chunna, XUE Dingyü . Closed-form solutions to fractional-order linear differential equations[J]. Frontiers of Electrical and Electronic Engineering, 2008 , 3(2) : 214 -217 . DOI: 10.1007/s11460-008-0025-3

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