Stability Analysis of Fractional Delay Differential Equations by Chebyshev Polynomial

Abstract:

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The paper is devoted to the numerical stability of fractional delay differential equations with non-smooth coefficients using the Chebyshev collocation method. In this paper, based on the Grunwald-Letnikov fractional derivatives, we discuss the approximation of fractional differentiation by the Chebyshev polynomial of the first kind. Then we solve the stability of the fractional delay differential equations. Finally, the stability of the delayed Mathieu equation of fractional order is examined for a set of case studies that contain the complexities of periodic coefficients, delays and discontinuities.

Info:

Periodical:

Edited by:

Chuanzhen Huang, Hongtao Zhu, Jun Wang and Xiaoping Li

Pages:

586-590

DOI:

10.4028/www.scientific.net/AMR.500.586

Citation:

X. M. Zhang et al., "Stability Analysis of Fractional Delay Differential Equations by Chebyshev Polynomial", Advanced Materials Research, Vol. 500, pp. 586-590, 2012

Online since:

April 2012

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$35.00

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