 |
|
|
|
|
 |
|
|
A Fractional Calculus Model of Semilunar Heart Valve Vibrations
|
|
|
|
|
|
| Organization: | Misr University for Science&Technology,Giza,Egypt |
|
|
|
|
|
|
2003 International Mathematica Symposium
|
|
|
|
|
|
Imperial College, London
|
|
|
|
|
|
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.
|
|
|
|
|
|
|
|
|
|
|
|
semilunar heart valve vibrations
|
|
|
|
|
|
|
|
For the newest resources, visit Wolfram Repositories and Archives »
