Solving fuzzy two-point boundary value problem using fuzzy Laplace transform

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Ahmad, Latif; Farooq, Muhammad; Ullah, Saif; Abdullah, Saleem;
  • Subject: Mathematics - General Mathematics

A natural way to model dynamic systems under uncertainty is to use fuzzy boundary value problems (FBVPs) and related uncertain systems. In this paper we use fuzzy Laplace transform to find the solution of two-point boundary value under generalized Hukuhara differentiabi... View more
  • References (33)
    33 references, page 1 of 4

    [1] L. Jamshidi and L. Avazpour, Solution of the fuzzy boundary value differential equations under generalized differentiability by shooting method, Journal of Fuzzy Set Valued Analysis, 2012, 1-19, 2012.

    [2] L. Zadeh, Fuzzy Sets, Information and Control 2, 338-353, 1965.

    [3] S. S. L. Chang and L. Zadeh, On fuzzy mapping and control, IEEE Trans on Syst Man and Cybern, 2, 30-34, 1972.

    [4] O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems, 24(3), 301-317, 1987.

    [5] S. Seikala, On the fuzzy initial value problem, Fuzzy Sets and Systems, 24(3), 319-330, 1987.

    [6] A. Bencsik, B. Bede, J. Tar, J. Fodor, Fuzzy Differential Equations in Modeling of Hydraulic Differential Servo Cylinders, in: Third Romanian-Hungarian Join Symposium on Applied Computational Intelligence (SACI), Timisoara, Romania, 2006.

    [7] W. Congxin, S. Shiji, Exitance theorem to the Cauchy problem of fuzzy differential equations undecompactance-type conditions, Information Science 108, 123-134, 1993.

    [8] O. Kaleva, The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems 35, 389-396, 1990.

    [9] J. J. Buckley, E. Esfandiar and T. Feuring. Fuzzy Mathematics in Economics and Engineering. Heidelberg: Physica-Verlag, 2002.

    [10] A. Khastan and J. J. Nieto. A boundary value problem for second order fuzzy differential equations, Nonlinear Analysis: Theory, Methods & Applications, 72(9), 3583-3593, 2010.

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