Atimad HARİR, Melliani SAİD, Chadli SAADİA

INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS

In this paper, the variational iteration method (VIM) are used for

Keywords:

Variational Iteration Method, intuitionistic fuzzy solution,

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Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96.
G.S. Mahapatra, T.K. Roy, Intuitionistic Fuzzy Number and Its Arithmetic Operationwith Application on System Failure Journal of Uncertain SystemsVol.7, No.2, pp.92-107, 2013
Atanassov, L. Vassilev, P.Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures andintegrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic PublishingHouse, Sofia.
L. S. Chadli, A. Harir and S. Melliani, Solutions of fuzzy heat-like equations by variational iterative method , Annals of Fuzzy Mathematics and Informatics, Volume 10, number 1, 2015, pp 29-44.
L. S. Chadli, A. Harir and S. Melliani, Solutions of fuzzy wave-like equations by variational iteration method. International Annals of Fuzzy Mathematics and Informatics, volume 8, number 4, 2014, 527-547 .
J.H. He, Variational iteration method-A kind of nonlinear analytical technique: some examples, International Journal of Non-Linear Mechanics 34 (1999) 699-708.
J.H He, Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons and Fractals 19(2004) 847-851.
S. Melliani and L. S. Chadli, Introduction to intuitionistic fuzzy partial differential equations, Notes on Intuitionistic Fuzzy SetsVol. 8 (2001), No. 1, pp. 24-28.
A.K. Shaw and T. K. Roy, Some arithmetic operations on Triangular Intuitionistic Fuzzy Number and its application onreliability evaluation, International Journal of Fuzzy Mathematics and Systems.ISSN 2248-9940 Volume 2, Number 4 (2012), pp. 363-382
AM. Wazwaz, A.Gorguis, Exact solutions for heat-like and wave-like equations with variablecoefficients, Appl. Math. Comput. 149(2004)15-29.
L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965) 338-353