A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

نویسندگان
Lata, Sneh ID 1
Kumar, Amit ID 2

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

doi
10.22111/ijfs.2013.1045
چکیده

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

کلیدواژه‌ها
Fuzzy di fferential equations, Fuzzy Kolmogorov's diff erential equations, LR flat fuzzy number, JMD LR flat fuzzy number, Fuzzy reliability, Fuzzy Markov model, Piston manufacturing system