Solution of nonlinear fractional differential equations using homotopy analysis method. (English) Zbl 1193.65147

Ganjiani, Mehdi

Appl. Math. Modelling 34, No. 6, 1634-1641 (2010).

Summary: The homotopy analysis method has been applied to solve nonlinear differential equations of fractional order. The validity of this method has successfully been accomplished by applying it to find the solution of two nonlinear fractional equations. The results obtained by homotopy analysis method have been compared with those exact solutions. The results show that the solution of homotopy analysis method is good agreement with the exact solution.

MSC:

65L99	Numerical methods for ordinary differential equations
35R11	Fractional partial differential equations
26A33	Fractional derivatives and integrals

Keywords:

homotopy analysis method; nonlinear differential equations; fractional order

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