Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations | Zendy

Canan Ünlü | Zendy; Hossein Jafari | Zendy; Dumitru Băleanu | Zendy

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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations

Author(s) -

Canan Ünlü,

Hossein Jafari,

Dumitru Băleanu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/461837

Subject(s) - mathematics , convergence (economics) , nonlinear system , order (exchange) , fractional calculus , iterative method , differential equation , differential (mechanical device) , mathematical analysis , mathematical optimization , physics , finance , quantum mechanics , aerospace engineering , engineering , economics , economic growth

A modification of the variational iteration method (VIM) for solving systems of nonlinear fractional-order differential equations is proposed. The fractional derivatives are described in the Caputo sense. The solutions of fractional differential equations (FDE) obtained using the traditional variational iteration method give good approximations in the neighborhood of the initial position. The main advantage of the present method is that it can accelerate the convergence of the iterative approximate solutions relative to the approximate solutions obtained using the traditional variational iteration method. Illustrative examples are presented to show the validity of this modification

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