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Keywords: fractional derivative
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Journal Articles
Journal:
Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. April 2009, 131(2): 021012.
Published Online: February 19, 2009
...X. W. Tangpong; Om P. Agrawal This paper presents a formulation and a numerical scheme for fractional optimal control (FOC) of a class of continuum systems. The fractional derivative is defined in the Caputo sense. The performance index of a fractional optimal control problem is considered...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. February 2009, 131(1): 014502.
Published Online: January 8, 2009
...Kai Diethelm Standard methods for the numerical calculation of fractional derivatives can be slow and memory consuming due to the nonlocality of the differential operators. Yuan and Agrawal (2002, “A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives,” ASME J. Vibr. Acoust., 124...