Some results for a fractional diffusion equation with radial symmetry in a confined region

Physica A: Statistical Mechanics and its Applications

Volumn 388, Issue 6, 2009, Pages 806-810

  Lenzi, E K ^a   da Silva, L R ^b   Silva, A T ^a   Evangelista, L R ^a   Lenzi, M K ^c  

^a STATE UNIVERSITY OF MARINGÁ   (Brazil)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^c FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

Anomalous diffusion; Fractional diffusion equation; Green function

Indexed keywords

GREEN'S FUNCTION; PARTIAL DIFFERENTIAL EQUATIONS;

ANOMALOUS DIFFUSION; ANOMALOUS SPREADING; FRACTIONAL DIFFUSION EQUATION; N-DIMENSIONAL FRACTIONAL DIFFUSION EQUATION; SURVIVAL PROBABILITIES; TIME-DEPENDENT BOUNDARY CONDITIONS; TIME-DEPENDENT DIFFUSION COEFFICIENT; UNUSUAL BEHAVIORS;

DIFFUSION;

EID: 58149326720     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.11.030     Document Type: Article

References (28)

1. Hilfer R., Metzler R., Blumen A., and Klafter J. Strange kinetics. Chem. Phys. 284 1-2 (2004)
2. Hilfer R. Applications of Fractional Calculus in Physics (2000), World Scientific, Singapore
3. Metzler R., and Klafter J. Phys. Rep. 339 (2000) 1
4. Zaslavsky G.M. Phys. Rep. 371 (2002) 461
5. Schneider W.R., and Wyss W. J. Math. Phys. 30 (1989) 134
6. Achar B.N.N., and Hanneken J.W. J. Mol. Liq. 114 (2004) 147
7. Coffey W.T., Crothers D.S.F., Holland D., and Titov S.V. J. Mol. Liq. 114 (2004) 165
8. Eule S., Friedrich R., Jenko F., and Kleinhans D. J. Phys. Chem. B 111 (2007) 11474
9. Metzler R., Barkai E., and Klafter J. Europhys. Lett 46 (1999) 431
10. Podlubny I. Fractional Differential Equations (1999), Academic Press, San Diego
11. Rossato R., Lenzi M.K., Evangelista L.R., and Lenzi E.K. Phys. Rev. E 76 (2007) 032102
12. Lucena L.S., da Silva L.R., Evangelista L.R., Lenzi M.K., Rossato R., and Lenzi E.K. Chem. Phys. 344 (2008) 90
13. Povstenko Y.Z. J. Mol. Liq. 137 (2008) 137
14. Morse M.P., and Feshbach H. Methods of Theoretical Physics (1953), McGrawHill, New York
15. Barbero G., and Evangelista L.R. Adsorption Phenomena and Anchoring Energy in Nematic Liquid Crystals (2006), Taylor & Francis, London
16. Zola R.S., Lenzi E.K., Evangelista L.R., and Barbero G. Phys. Rev. E 75 (2007) 0422601
17. Lomholt M.A., Zaid I.M., and Metzler R. Phys Rev. Lett. 98 (2007) 200603
18. Condamin S., Bénichou O., and Klafter J. Phys. Rev. Lett. 98 (2007) 250602
19. Condamin S., Bénichou O., Tejedor V., Voituriez R., and Klafter J. Nature 450 (2007) 77
20. Bickel T. Physica A 377 (2007) 24
21. Lenzi E.K., Mendes R.S., Andrade J.S., da Silva L.R., and Lucena L.S. Phys. Rev. E 71 (2005) 052101
22. Crank J. The Mathematics of Diffusion (1956), Oxford University Press, London
23. Henry B.I., Langlands T.A.M., and Wearne S.L. Phys. Rev. E 74 (2006) 031116
24. Giona M., and Giustiniani M. J. Phys. Chem. 100 (1996) 16690
25. Macheras P., and Iliadis A. Modeling in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics (2006), Springer, New York
26. Iomin A. J. Phys.: Conf. Ser. 7 (2005) 57
27. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids (1959), Oxford University Press, London
28. Redner S. A Guide to First-Passage Processes (2001), Cambridge University Press, Cambridge, England