A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

Document Type: Research Paper

Authors

1 School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

2 School of Mathematics and Computer Applications, Thapar Univer- sity, Patiala, 147004, India

Abstract

In the literature, several numerical methods are proposed for solving
nth-order fuzzy linear diff erential equations. However, till now there are
only two analytical methods for the same. In this paper, the fuzzy Kolmogorov's
di fferential equations, obtained with the help of fuzzy Markov model
of piston manufacturing system, are solved by one of these analytical methods
and illustrated that the obtained solution does not represent a fuzzy number.
To resolve the drawback of existing method, a new analytical method is proposed
for solving nth-order fuzzy linear di fferential equations. Furthermore,
the advantage of proposed method over existing method is also discussed.

Keywords


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