Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics

被引:4
作者
Mondal S.P. [1 ]
Roy T.K. [2 ]
机构
[1] Department of Mathematics, National Institute of Technology, Agartala, Jirania, 799046, Tripura
[2] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, 711103, West Bengal
关键词
Fuzzy differential equation; Lagrange multiplier method; Second order differential equation; Triangular fuzzy number;
D O I
10.1007/s12597-017-0305-x
中图分类号
学科分类号
摘要
In this paper the solution of second order linear fuzzy ordinary differential equation is described. The solution procedure is described by Lagrange multiplier method and extension principle method. Further two mechanics problem with fuzzy initial condition are briefly illustrated. The solutions are defuzzified by a well min of α-cut defuzzification method. © 2017, Operational Research Society of India.
引用
收藏
页码:766 / 798
页数:32
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