On fractional Duhamel's principle and its applications

Details On fractional Duhamel's principle and its applications On fractional Duhamel's principle and its applications

2010-04-13

arxiv.org/abs/1004.2098v1

Mathematics

Classical Analysis and ODEs

20 pages

Scientific paper

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. Duhamel's principle is not applicable in the case of fractional order differential equations. In this paper we formulate and prove fractional generalizations of this famous principle directly applicable to a wide class of fractional order differential-operator equations.

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