scholarly journals Variational Iteration Method for Solving System of Fractional Order Ordinary Differential Equations

2014 ◽  
Vol 10 (6) ◽  
pp. 48-54
Author(s):  
Nabaa N. Hasan ◽  
◽  
Fadhel S.Fadhel
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Fractional Order ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Variational Iteration

scholarly journals Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Asma Ali Elbeleze ◽  
Adem Kılıçman ◽  
Bachok M. Taib
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Order ◽  
Iteration Method ◽  
Series Solution ◽  
Fractional Derivatives ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Partial Differential ◽  
Variational Iteration

We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense.

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