A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

Authors

  • Amit Kumar School of Mathematics and Computer Applications, Thapar Univer- sity, Patiala, 147004, India
  • Sneh Lata School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India
Abstract:

In the literature, several numerical methods are proposed for solvingnth-order fuzzy linear differential equations. However, till now there areonly two analytical methods for the same. In this paper, the fuzzy Kolmogorov'sdifferential 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 differential equations. Furthermore,the advantage of proposed method over existing method is also discussed.

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Journal title

volume 10  issue 4

pages  19- 39

publication date 2013-08-30

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