A Fractional Analog of the Duhamel Principle


Autoria(s): Umarov, Sabir; Saydamatov, Erkin
Data(s)

29/08/2010

29/08/2010

2006

Resumo

Mathematics Subject Classification: 35CXX, 26A33, 35S10

The well known Duhamel principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for corresponding homogeneous equations. In the paper one of the possible generalizations of the classical Duhamel principle to the time-fractional pseudo-differential equations is established.

* This work partially supported by NIH grant P20 GMO67594.

Identificador

Fractional Calculus and Applied Analysis, Vol. 9, No 1, (2006), 57p-70p

1311-0454

http://hdl.handle.net/10525/1272

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Duhamel's Principle #Pseudo-Differential Equations #Cauchy Problem #Inhomogeneous Equation #Time-Fractional Equation #35CXX #26A33 #35S10
Tipo

Article