Article ID Journal Published Year Pages File Type
4611403 Journal of Differential Equations 2012 18 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis