Fractional reaction - diffusion

Physica A: Statistical Mechanics and its Applications

Volumn 276, Issue 3-4, 2000, Pages 448-455

  Henry, B I ^a   Wearne, S L ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CHEMICAL REACTIONS; MATHEMATICAL MODELS; PRECIPITATION (CHEMICAL); PROBABILITY DENSITY FUNCTION; TURBULENCE;

CONTINUOUS TIME RANDOM WALKS; FRACTIONAL REACTION DIFFUSION; TURING INSTABILITY;

DIFFUSION;

EID: 0343526808     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00469-0     Document Type: Article

References (21)

1. Giona M., Roman H.E. Physica A. 185:1992;87.
2. Metzler R., Glöckle W.G., Nonnenmacher T.F. Physica A. 211:1994;13.
3. Compte A. Phys. Rev. E. 53:1996;4191.
4. Metzler R., Nonnenmacher T.F. J. Phys. A. 30:1997;1089.
5. Zanette D.H. Physica A. 252:1998;159.
6. Ren F., Liang J., Wang X-T. Phys. Lett. A. 252:1999;141.
7. Klafter J., Blumen A., Shlesinger M.F. Phys. Rev. A. 35:1987;3081.
8. Montroll E.W., Weiss G.H. J. Math. Phys. 6:1965;167.
9. Kenkre V.M., Montroll E.W., Shlesinger M.F. J. Stat. Phys. 9:1973;1.
10. Shlesinger M.F. J. Stat. Phys. 10:1974;421.
11. Klafter J., Silbey R. Phys. Rev. Letts. 44:1980;55.
12. Havlin S., Ben-Avraham D. Adv. in Phys. 36:1987;695.
13. Shlesinger M.F., West B.J., Klafter J. Phys. Rev. Letts. 58:1987;1100.
14. J. Klafter, G. Zumofen, M.F. Shlesinger, in: F. Mallamace, H.E. Stanley (Eds.), The Physics of Complex Systems, IOS Press, Amsterdam, 1997, p. 85.
15. W. Feller, Introduction to Probability Theory and its Applications, Wiley, New York, 1966, Vol. II.
16. B.D. Hughes, Random Walks and Random Environments, Clarendon Press, Oxford, 1995 (Chapter 5).
17. K.B. Oldham, J. Spanier, The Fractional Calculus, Academic Press, New York, 1974, p. 134.
18. M. Caputo, Elasticitá e Dissipazione, Zanichelli, Bologna, 1969.
19. Schneider W.R., Wyss W. J. Math. Phys. 30:1989;134.
20. J.D. Murray, Mathematical Biology, Springer, New York, 1989, p. 380.
21. I. Podlubny, The Laplace Transform Method for Linear Differential Equations of the Fractional Order, Los Alamos Preprint, funct-an / 9710005, 1997.