Symmetry properties of fractional diffusion equations

Physica Scripta T

Volumn T136, Issue , 2009, Pages

  Gazizov, R K ^a   Kasatkin, A A ^a   Lukashchuk, S Yu ^a  

^a Science and Education Center of Bashkir People History Ufa University of Science and Technology   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EXACT SOLUTION; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFUSION EQUATION; LIE POINT SYMMETRIES; NONLINEAR ANOMALOUS DIFFUSION EQUATIONS; SYMMETRY PROPERTIES;

PARTIAL DIFFERENTIAL EQUATIONS;

NONLINEAR EQUATIONS;

EID: 77952856621     PISSN: 02811847     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1088/0031-8949/2009/T136/014016     Document Type: Conference Paper

References (7)

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2. Klafter J and Metzler R 2000 The random walks guide to anomalous diffusion: a fractional dynamics approach Phys. Rep. 339 1-77
3. Podlubny I 1999 Fractional Differential Equations. An Introduction to Fractional Derivatives, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications (San Diego, CA: Academic)
4. Samko S, Kilbas A and Marichev O 1993 Fractional Integrals and Derivatives: Theory and Applications (Yverdon: Gordon and Breach)
5. Zaslavsky G M 2002 Chaos, fractional kinetics, and anomalous transport Phys. Rep. 371 461-580
6. Buckwar E and Luchko Yu 1998 Invariance of a partial differential equation of fractional order under the lie group of scaling transformations J. Math. Anal. Appl. 227 81-97 (Pubitemid 128343440)
7. Gazizov R K, Kasatkin A A and Lukashchuk S Yu 2007 Continuous transformation groups of fractional differential equations Vestn. USATU 9 125-135