Solving Systems of Fuzzy Differential Equation

نویسندگان

  • Amir Sadeghi
  • Ali F. Jameel
چکیده

In this paper, a solution procedure for the solution of the system of fuzzy differential equations ẋ(t) = α(A− In) [t(A− In) + In]−1 x(t), x(0) = x0 where A is real n × n matrix which does not have eigenvalues on R− and x0 is a vector consisting of n fuzzy numbers is developed. In addition, the necessary and sufficient condition for the existence of fuzzy solution is presented. An example is provided to show the effectiveness of the proposed theory.

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تاریخ انتشار 2011