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

Sankar Prasad Mondal () and Tapan Kumar Roy
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Sankar Prasad Mondal: National Institute of Technology
Tapan Kumar Roy: Indian Institute of Engineering Science and Technology

OPSEARCH, 2017, vol. 54, issue 4, No 7, 766-798

Abstract: Abstract 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.

Keywords: Fuzzy differential equation; Triangular fuzzy number; Second order differential equation; Lagrange multiplier method; 34A07; 34A12 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s12597-017-0305-x

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