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Zbl 1207.65109
Yang, Shuiping; Xiao, Aiguo; Su, Hong
Convergence of the variational iteration method for solving multi-order fractional differential equations. (English)
[J] Comput. Math. Appl. 60, No. 10, 2871-2879 (2010). ISSN 0898-1221

Summary: The variational iteration method (VIM) is applied to obtain approximate solutions of multi-order fractional differential equations (M-FDEs). We can easily obtain the satisfying solution just by using a few simple transformations and applying the VIM. A theorem for convergence and error estimates of the VIM for solving M-FDEs is given. Moreover, numerical results show that our theoretical analysis are accurate and the VIM is a powerful method for solving M-FDEs.

MSC 2000:: *65L99 Numerical methods for ODE
34A08
26A33 Fractional derivatives and integrals (real functions)
45J05 Integro-ordinary differential equations

Keywords: fractional differential equations; variational iteration method; convergence; fractional calculus

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Zentralblatt MATH Berlin [Germany]