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Math. Comput. Appl. 2011, 16(4), 819-829; doi:10.3390/mca16040819

Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations

Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran 14515/775, Iran
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Published: 1 December 2011
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Abstract

In this paper, the variational iteration method (VIM) is employed to solve a system of fuzzy differential equations of first order. Since every ordinary fuzzy differential equations of higher order can be converted into a fuzzy system of the first order, this method can be used for solving n -th order fuzzy differential equations. Also the convergency of VIM for this system is proved. Finally to more illustrate several examples are solved.
Keywords: Variational iteration method; n -th order fuzzy differential equations Variational iteration method; n -th order fuzzy differential equations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Abbasbandy, S.; Allahviranloo, T.; Darabi, P.; Sedaghatfar, O. Variational Iteration Method for Solving n -th Order Fuzzy Differential Equations. Math. Comput. Appl. 2011, 16, 819-829.

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