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

Joint Authors

Baleanu, Dumitru
Ünlü, C.
Jafari, Hossein

Source

Abstract and Applied Analysis

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

Mathematics

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