# A Fractional Analog of the Duhamel Principle

Umarov, Sabir; Saydamatov, Erkin

Fractional Calculus and Applied Analysis (2006)

- Volume: 9, Issue: 1, page 57-70
- ISSN: 1311-0454

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topUmarov, 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 -

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