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![](/common/images/spacer.gif) A Fractional Calculus Model of Semilunar Heart Valve Vibrations
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Organization: | Misr University for Science&Technology,Giza,Egypt |
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![](/common/images/spacer.gif) 2003 International Mathematica Symposium
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![](/common/images/spacer.gif) Imperial College, London
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![](/common/images/spacer.gif) The objective of this paper is to solve the equation of motion of semilunar heart valve vibrations. The vibration of the closed semilunar valves are modeled by a Caputo fractional derivative of order α.Using a Laplace transformation, a closed-form solution is obtained for the equation of motion in terms of a Mittag-Leffler function.An alternative method for a semi-differential equation α = 1/2 when is also examined. The simplicity of theMathematica solution makes it ideal for testing the accuracy of numerical methods.This solution can be of some interest for fitting experimental data.
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![](/common/images/spacer.gif) semilunar heart valve vibrations
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