A method for solving nth order fuzzy linear differential equations

Abstract

In this paper, an analytic method (eigenvalue–eigenvector method) for solving nth order fuzzy differential equations with fuzzy initial conditions is considered. In this method, three cases are introduced, in each case, it is shown that the solution of differential equation is a fuzzy number. In addition, the method is illustrated by solving several numerical examples.

Keywords:

• eigenvalue
• eigenvector
• seikkala derivative
• fuzzy differential equation

2000 AMS Subject Classification :

• 34B15
• 34B16