A method for solving nth order fuzzy linear differential equations

Authors:
T. Allahviranloo;E. Ahmady;N. Ahmady
Affiliations:
Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran;Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran;Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran
Venue:
International Journal of Computer Mathematics
Year:
2009

Citing 8
Cited 0

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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.