A New Approach to nth Order Fuzzy Differential Equations

Аннотация

This paper proposes a new method based on fuzzy center and radius for solving n th order fuzzy differential equations. First, the fuzzy differential equation is solved in term of fuzzy center and then this solution is used to find the radius of the fuzzy solution. Finally using the solution of fuzzy center and radius, one obtains the solution of the governing fuzzy differential equation. The proposed method is illustrated by considering three cases with numerical examples along with one application problem of vibration. Results obtained are also compared with solutions by existing methods and are found to be in good agreement.