Revised Adomian decomposition method for solving systems of ordinary and fractional differential equations

Applied Mathematics and Computation

Volumn 181, Issue 1, 2006, Pages 598-608

  Jafari, Hossein ^a   Daftardar Gejji, Varsha ^a  

^a UNIVERSITY OF PUNE   (India)

Author keywords

Adomian polynomials; Caputo fractional derivative; Revised Adomian decomposition; System of ordinary fractional differential equations

Indexed keywords

ADOMIAN POLYNOMIALS; CAPUTO FRACTIONAL DERIVATIVE; REVISED ADOMIAN DECOMPOSITION; SYSTEM OF ORDINARY/FRACTIONAL DIFFERENTIAL EQUATIONS;

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; NONLINEAR SYSTEMS; POLYNOMIALS; PROBLEM SOLVING;

COMPUTATIONAL METHODS;

EID: 33749518702     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.12.049     Document Type: Article

References (13)

1. Abboui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Appl. Math. 29 7 (1995) 103-105
2. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method (1994), Kluwer
3. Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135 (1988) 501-544
4. Atanackovic T.M., and Stankovic B. On a system of differential equations with fractional derivatives arising in rod theory. J. Phys. A: Math. Gen. 37 (2004) 1241-1250
5. Babolian E., and Biazar J. Solution of a system of nonlinear Volterra integral equations of the second kind. Far East J. Math. Sci. 2 6 (2000) 935-945
6. Biazar J., Babolian E., and Islam R. Solution of the system of ordinary differential equations by Adomian decomposition method. Appl. Math. Comput. 147 3 (2004) 713-719
7. Daftardar-Gejji V., and Jafari H. Adomian decomposition: a tool for solving a system of fractional differential equations. J. Math. Anal. Appl. 301 2 (2005) 508-518
8. H. Jafari, V. Daftardar-Gejji, Solving a system of nonlinear fractional differential equations using Adomian decomposition, J. Comput. Appl. Math., in press.
9. Jafari H., and Daftardar-Gejji V. Revised Adomian decomposition method for solving a system of nonlinear equations. Appl. Math. Comput. 175 1 (2006) 1-7
10. Miller K.S., and Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations (1993), Wiley, New York
11. Podlubny I. Fractional Differential Equations (1999), Academic Press, San Diego
12. Samko G., Kilbas A.A., and Marichev O.I. Fractional Integrals and Derivatives: Theory and Applications (1993), Gordon and Breach, Yverdon
13. Shawagfeh N.T., and Kaya D. Comparing numerical methods for solutions of ordinary differential equations. Appl. Math. Lett. 17 (2004) 323-328