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ANALYTIC SOLUTION AND NUMERICAL SOLUTION TO ENDOLYMPH EQUATION USING FRACTIONAL DERIVATIVE 被引量:1

ANALYTIC SOLUTION AND NUMERICAL SOLUTION TO ENDOLYMPH EQUATION USING FRACTIONAL DERIVATIVE
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摘要 In this paper,we study the solution to the endolymph equation using the fractional derivative of arbitrary orderλ(0<λ<1).The exact analytic solution is given by using Laplace transform in terms of Mittag-Leffler functions.We then evaluate the approximate numerical solution using MATLAB. In this paper,we study the solution to the endolymph equation using the fractional derivative of arbitrary orderλ(0<λ<1).The exact analytic solution is given by using Laplace transform in terms of Mittag-Leffler functions.We then evaluate the approximate numerical solution using MATLAB.
出处 《Annals of Differential Equations》 2008年第1期9-12,共4页 微分方程年刊(英文版)
基金 Supported by the National Natural Science Foundation of China (10461005) the Scientific Research Foundation of Tianjin Education Committee (200504042006ZH91).
关键词 fractional calculus Mittag-Leffler function MATLAB ENDOLYMPH fractional calculus Mittag-Leffler function MATLAB endolymph
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