The homotopy perturbation method applied to the nonlinear fractional KolmogorovPetrovskiiPiskunov equations

Applied Mathematics Letters

Volumn 24, Issue 8, 2011, Pages 1428-1434

  Gepreel, Khaled A ^a,b  

^a Zagazig University   (Egypt)

^b TAIF UNIVERSITY   (Saudi Arabia)

Author keywords

Complex transformation; Fractional calculus; Homotopy perturbation method; The fractional KolmogorovPetrovskiiPiskunov equation

Indexed keywords

CALCULATIONS; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

APPROXIMATE SOLUTION; COMPLEX TRANSFORMATIONS; FRACTIONAL CALCULUS; FRACTIONAL DERIVATIVES; FRACTIONAL ORDER EQUATIONS; HOMOTOPY PERTURBATION METHOD (HPM); NONLINEAR EVOLUTIONS; THE FRACTIONAL KOLMOGOROVPETROVSKIIPISKUNOV EQUATION;

NONLINEAR EQUATIONS;

EID: 79955470464     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.03.025     Document Type: Article

References (13)

1. I. Podlubny Fractional Differential Equations 1999 Academic Press San Diego
2. J.H. He Some applications of nonlinear fractional differential equations and their applications Bull. Sci. Technol. 15 2 1999 86 90
3. K. Diethelm, and Y. Luchko Numerical solution of linear multi-term differential equations of fractional order J. Comput. Anal. Appl. 6 2004 243 263 (Pubitemid 44387224)
4. V.S. Erturk, Sh. Momani, and Z. Odibat Application of generalized differential transform method to multi-order fractional differential equations Commun. Nonlinear Sci. Numer. Simul. 13 2008 1642 1654 (Pubitemid 351250728)
5. V. Daftardar-Gejji, and S. Bhalekar Solving multi-term linear and non-linear diffusion wave equations of fractional order by Adomian decomposition method Appl. Math. Comput. 202 2008 113 120
6. V. Daftardar-Gejji, and H. Jafari Solving a multi-order fractional differential equation using Adomian decomposition Appl. Math. Comput. 189 2007 541 548 (Pubitemid 46734260)
7. N.H. Sweilam, M.M. Khader, and R.F. Al-Bar Numerical studies for a multi-order fractional differential equation Phys. Lett. A 371 2007 26 33
8. A. Golbabai, K. Sayevand, Fractional calculus a new approach to the analysis of generalized fourth-order diffusionwave equations, Comput. Math. Appl. (2011) (in press).
9. A. Golbabai, and K. Sayevand The homotopy perturbation method for multi-order time fractional differential equations Nonlinear Sci. Lett. A 1 2010 147 154
10. A.G. Nikitin, and T.A. Barannyk Solitary waves and other solutions for nonlinear heat equations Cent. Eur. J. Math. 2 2005 840 858
11. J.H. He New interpretation of homotopy perturbation method Int. J. Modern Phys. B 20 2006 1 7
12. Z.B. Li, and J.H. He Fractional complex transformation for fractional differential equations Math. Comput. Appl. 15 2010 970 973
13. A. Rafiq, M. Ahmed, and S. Hussain A general approach to specific second order ordinary differential equations using homotopy perturbation method Phys. Lett. A 372 2008 4973 4976