On fractional Duhamel始s principle and its applications

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• 作者：Sabir Umarov ^{Sabir.Umarov@tufts.edu}
• 关键词：Fractional derivatives ; Distributed order differential-operator equations ; Cauchy problem ; Fractional Duhamel始s principle ; Inhomogeneous equation
• 刊名：Journal of Differential Equations
• 出版年：2012
• 期刊代码：74_00220396
• 类别：mt
• 出版时间：15 May, 2012
• 卷：252
• 期：10
• 页码：5217-5234
• 文件大小：222 K

摘要

The classical Duhamel principle, established nearly 200 years ago by Jean-Marie-Constant Duhamel, reduces the Cauchy problem for an inhomogeneous partial differential equation to the Cauchy problem for the corresponding homogeneous equation. In this paper we generalize this famous principle to a wide class of fractional order differential-operator equations.