Boundary value problems for subdiffusion under degradation

Acta Physica Polonica B

Volumn 41, Issue 5, 2010, Pages 989-1000

  Froemberg, Daniela ^a   Sokolov, Igor M ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GREEN FUNCTION; LINEAR REACTION; SUBDIFFUSION;

BOUNDARY VALUE PROBLEMS; DEGRADATION; EXPONENTIAL FUNCTIONS; FUZZY CONTROL; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICS;

LINEAR EQUATIONS;

EID: 77954984987     PISSN: 05874254     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (16)

1. R. Metzler, J. Klafter, Phys. Rep. 339, 1 (2000).
2. R. Metzler, J. Klafter, Physica A 278, 107 (2000).
3. J. Crank, The Mathematics of Diffusion, Oxford University Press, London 1956.
4. H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solids, 2nd Ed., Oxford University Press, London 1959.
5. T. Kosztolowicz, J. Phys. A37, 10779 (2004).
6. B.J. Henry, S.L. Wearne, Physica A 276, 448 (2000);
7. SIAM J. Appl. Math. 62, 870 (2002);
8. B.I. Henry, T.A.M. Langlands, S.L. Wearne, Phys. Rev. E72, 026101 (2005).
9. T. Kosztolowicz, K.D. Levandowska, Acta Phys. Pol. B 37, 1571 (2006).
10. K. Seki, M. Wojcik, M. Tachiya, J. Chem. Phys. 119, 2165 (2003).
11. J.Y. Sung, R.J. Silbey, Phys. Rev. Lett. 91, 160601 (2003).
12. M.O. Vlad, J. Ross, Phys. Rev. E66, 061908 (2002).
13. A. Yadav, W. Horsthemke, Phys. Rev. E74, 066118 (2006).
14. I.M. Sokolov, M.G.W. Schmidt, F. Sagués, Phys. Rev. E73, 031102 (2006).
15. P.V. Danckwerts, Trans. Faraday Soc. 47, 1014 (1951).
16. Tables of Integral Transforms, Ed. A. Erdelyi, Vol.1, McGraw-Hill, New York 1954.