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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations
Joint Authors
Baleanu, Dumitru
Ünlü, C.
Jafari, Hossein
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-22
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ünlü, C.& Jafari, Hossein& Baleanu, Dumitru. 2013. Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-473434
Modern Language Association (MLA)
Ünlü, C.…[et al.]. Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-473434
American Medical Association (AMA)
Ünlü, C.& Jafari, Hossein& Baleanu, Dumitru. Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-473434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473434