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

Author

Listed:
  • Sankar Prasad Mondal

    (National Institute of Technology)

  • Tapan Kumar Roy

    (Indian Institute of Engineering Science and Technology)

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.

Suggested Citation

  • Sankar Prasad Mondal & Tapan Kumar Roy, 2017. "Solution of second order linear fuzzy ordinary differential equation by Lagrange multiplier method with application in mechanics," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 766-798, December.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:4:d:10.1007_s12597-017-0305-x
    DOI: 10.1007/s12597-017-0305-x
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    References listed on IDEAS

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    1. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
    2. Luciano Stefanini, 2008. "A generalization of Hukuhara difference for interval and fuzzy arithmetic," Working Papers 0801, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
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