Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition

Abstract and Applied Analysis

Volumn 2011, Issue , 2011, Pages

  Kemppainen, Jukka ^a  

^a UNIVERSITY OF OULU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79959223648     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2011/321903     Document Type: Article

References (15)

1. Metzler R., Klafter J., The random walk's guide to anomalous diffusion: a fractional dynamics approach Physics Reports 2000 339 1 1 77
2. Bazhlekova E., Fractional evolution equations in Banach spaces, dissertation 2001 Technische Universiteit Eindhoven
3. Eidelman S. D., Kochubei A. N., Cauchy problem for fractional diffusion equations Journal of Differential Equations 2004 199 2 211 255 (Pubitemid 38516155)
4. Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and Applications of Fractional Differential Equations 2006 204 Amsterdam, The Netherlands Elsevier Science B.V. xvi+523 North-Holland Mathematics Studies
5. Luchko Y., Maximum principle for the generalized time-fractional diffusion equation Journal of Mathematical Analysis and Applications 2009 351 1 218 223
6. Luchko Y., Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation Computers Mathematics with Applications 2010 59 5 1766 1772
7. Kemppainen J., Ruotsalainen K., Boundary integral solution of the time-fractional diffusion equation Integral Equations and Operator Theory 2009 64 2 239 249
8. Kochube A. N., Fractional Order Diffusion Journal of Difference Equations 1990 26 4 485 492
9. Schneider W. R., Wyss W., Fractional diffusion and wave equations Journal of Mathematical Physics 1989 30 1 134 144
10. Kilbas A. A., Saigo M., H-Transforms: Theory and Applications 2004 9 CRC Press LLC xii+389 Analytical Methods and Special Functions. Theory and Application
11. Prudnikov A. P., Brychkov Y. A., Marichev O. I., Integrals and Series. Vol. 3. More Special Functions 1990 Amsterdam, The Netherlands Overseas Publishers Association
12. Kemppainen J., Properties of the single layer potential for the time fractional diffusion equation. to appear in Journal of Integral Equations and Applications
13. Friedman A., Partial Differential Equations of Parabolic Type 1983 Malabar, Conn, USA Robert E. Krieger Publishing Company, Inc.
14. Kress R., Linear Integral Equations 1999 82 2nd New York, NY, USA Springer xiv+365 Applied Mathematical Sciences
15. Kemppainen J., Existence and uniqueness of the solution for a time-fractional diffusion equation. to appear in Fractional Calculus and Applied Analisys