INITIALIZATION OF FRACTIONAL DIFFERENTIAL EQUATIONS: THEORY AND APPLICATION

机译：分数阶微分方程的初始化：理论与应用

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It has been known that the initialization of fractional operators requires time-varying functions, a complicating factor. This paper simplifies the process of initialization of fractional differential equations by deriving Laplace transforms for the initialized fractional integral and derivative that generalize those for the integer-order operators. A companion paper in this conference determines the Laplace transforms for initialized fractional integrals of any order and fractional derivatives of order less than one. This paper extends the theory for the Laplace transform of the derivative to higher order and provides applications.

机译：众所周知，分数运算符的初始化需要时变函数，这是一个复杂的因素。本文通过为初始化后的分数积分和导数推导Laplace变换，从而简化了分数阶微分方程的初始化过程，从而对整数阶算子进行了推广。这次会议的一篇论文确定了任意阶数的初始化分数积分和小于一的阶数导数的拉普拉斯变换。本文将导数的拉普拉斯变换的理论扩展到更高阶，并提供了应用。

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来源
《ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007》|2007年|P.13411347|共2页
会议地点 Las VegasNV(US);Las VegasNV(US);Las VegasNV(US)
作者
Carl F. Lorenzo; Tom T. Hartley;
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作者单位

NASA Glenn Research Center Cleveland, Ohio 44135;

University of Akron Akron, Ohio 44325-3904;

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会议组织
原文格式 PDF
正文语种 eng
中图分类柔性制造系统及柔性制造单元;
关键词
fractional differential equations; fractional operators; initialization; laplace transforms;

机译：分数阶微分方程;分数维算子;初始化;拉普拉斯变换;

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INITIALIZATION OF FRACTIONAL DIFFERENTIAL EQUATIONS: THEORY AND APPLICATION

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