A Numerical Algorithm for Solving Nonlinear Fuzzy Differential Equations

Volume 2, Issue 4, pp 667--671 http://dx.doi.org/10.22436/jmcs.02.04.11

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Authors

M. Rostami - Department of Mathematics, Naragh Branch, Islamic Azad University, Naragh, Iran M. Kianpour - Department of Mathematics, Faculty of Sciences, University of Guilan, Rasht, Iran E. Bashardoust - Department of Mathematics, Faculty of Sciences, University of Guilan, Rasht, Iran

Abstract

In this paper, we propose a numerical algorithm based on Runge-Kutta methods to and solution of nonlin- ear fuzzy differential equations (FDEs) such that it solution satisffes solution found via differential inclusions. Our interpretation of the FDEs is a family of fuzzy differential inclusions. The method is illustrated by some examples.

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Keywords

• Nonlinear Fuzzy differential equations
• Fuzzy differential inclusions
• H-difference
• Runge-Kutta methods.

MSC

•  34A07
•  65L99

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