On fractional Duhamelʼs principle and its applications

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 wid...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Differential Equations 2012-05, Vol.252 (10), p.5217-5234
Main Author: Umarov, Sabir
Format: Article
Language:English
Subjects:
Cauchy problem
Distributed order differential-operator equations
Fractional derivatives
Fractional Duhamelʼs principle
Inhomogeneous equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2012.01.029