A Fractional Analog of the Duhamel Principle

Umarov, Sabir, and Saydamatov, Erkin. "A Fractional Analog of the Duhamel Principle." Fractional Calculus and Applied Analysis 9.1 (2006): 57-70. <http://eudml.org/doc/11254>.

@article{Umarov2006,
abstract = {Mathematics Subject Classification: 35CXX, 26A33, 35S10The 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.},
author = {Umarov, Sabir, Saydamatov, Erkin},
journal = {Fractional Calculus and Applied Analysis},
keywords = {26A33; 35S10},
language = {eng},
number = {1},
pages = {57-70},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Fractional Analog of the Duhamel Principle},
url = {http://eudml.org/doc/11254},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Umarov, Sabir
AU - Saydamatov, Erkin
TI - A Fractional Analog of the Duhamel Principle
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 1
SP - 57
EP - 70
AB - Mathematics Subject Classification: 35CXX, 26A33, 35S10The 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.
LA - eng
KW - 26A33; 35S10
UR - http://eudml.org/doc/11254
ER -