Exact solutions of fractional-order biological population model

Communications in Theoretical Physics

Volumn 52, Issue 6, 2009, Pages 992-996

  El Sayed, A M A ^a   Rida, S Z ^b   Arafa, A A M ^b  

^a Alexandria University Faculty Of Science   (Egypt)

^b SOUTH VALLEY UNIVERSITY   (Egypt)

Author keywords

Biological populations model; Decomposition method; Fractional Calculus; Mittag Leffler function

Indexed keywords

EID: 73849139817     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/52/6/04     Document Type: Article

References (21)

1. Shakeri F and M Dehghan 2007 Comput. Math. Appl. 54 1197
2. Ablowitz M J and H Segur 1981 Solitons and the Inverse Scattering Transformation (SIAM, Philadelphia)
3. Whitham G B 1974 Linear and Nonlinear Waves (John Wiley, New York)
4. Tajiri M and Y Murakami 1990 Phys. Lett. A 134 217
5. Adomian G 1994 Solving Frontier Problems of Physics: The Decomposition Method (Kluwer, Academic, Dordrecht)
6. Adomain G 1988 Math. Anal. Appl. 135 501
7. Lu Y G 2000 Appl. Math. Lett. 13 123
8. Gurtin M E and R C MacCamy 1977 Math. Biosc. 33 35
9. Bear J 1972 Dynamics of Fluids in Porous Media (American Elsevier, New York)
10. Okubo A 1980 Diffusion and Ecological Problem, Mathematical Models, Biomathematics vol 10 (Springer, Berlin)
11. Munkhammar J D 2005 Undergrad. J. Math. 6 1
12. Cherruault Y 1989 Convergence od Adomian's Method, Kybernetes 18 31
13. Cherruault Y and G Adomian 1993 Math. Comput. Modell. 18 103
14. Nagarhasta N, B Some, K Abbaoui and Y Cherruault 2002 New Numerical Study of Adomian Method Applied to a Diffusion Model vol 31 (Kybernetes) p 61
15. Momani S 2006 Chaos, Solitons Fractals 28 930
16. Momani S and Z Odibat 2006 Appl. Math. Comput. 177 488
17. Momani S and Z Odibat 2007 Chaos, Solitons Fractals 31 1248
18. Odibat Z and S Momani 2006 Appl. Math. Comput. 181 767
19. Podlubny I 1999 Fractional Differential Equations: an Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications (Academic Press, New York)
20. Caputo M 1967 J. R. Austral. Soc. 13 529
21. Wazwaz A 2000 Appl. Math. Comput. 111 53