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A Novel Iterative Method for Solving Systems of Fractional Differential Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The Reconstruction of Variational Iteration Method (RVIM) technique has been successfully applied to obtain solutions for systems of nonlinear fractional differential equations: D∗αxi(t)=Ni(t,x1,…,xn), xi(k)=cki, 0≤k≤[αi], 1≤i≤n, where D∗α denote Caputo fractional derivative.
The RVIM, for differential equations of integer order is extended to derive approximate analytical solutions for systems of fractional differential equations.
Advantage of the RVIM, is simplicity of the computations and convergent successive approximations without any restrictive assumptions or transform functions.
Some illustrative examples are given to show the validity of this method for solving linear and nonlinear systems of fractional differential equations.
American Psychological Association (APA)
Hesameddini, E.& Rahimi, A.. 2013. A Novel Iterative Method for Solving Systems of Fractional Differential Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-471437
Modern Language Association (MLA)
Hesameddini, E.& Rahimi, A.. A Novel Iterative Method for Solving Systems of Fractional Differential Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-471437
American Medical Association (AMA)
Hesameddini, E.& Rahimi, A.. A Novel Iterative Method for Solving Systems of Fractional Differential Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-471437
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471437