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An approximation solution of a nonlinear equation with Riemann-Liouville’s fractional derivatives by He’s variational iteration method. (English) Zbl 1120.65133
Summary: An application of J. He’s variational iteration method [Comput. Methods Appl. Mech. Eng. 167, No. 1–2, 57–68 (1998; Zbl 0942.76077)] is proposed to approximate the solution of a nonlinear fractional differential equation with Riemann-Liouville’s fractional derivatives. Also, the results are compared with those obtained by Adomian’s decomposition method and truncated series method. The results reveal that the method is very effective and simple.

65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
26A33 Fractional derivatives and integrals
Full Text: DOI
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