Research Article

INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS

Volume: 3 Number: 1 January 31, 2020
EN

INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS

Abstract

In this paper, the variational iteration method (VIM)  are used for
find exact intuitionistic fuzzy solution of the intuitionistic fuzzy heat-like equations with variable coefficients in one and two dimensions. Several examples
are given to show the new theorem of the solution.
The results obtained in all cases show the reliability and the efficiency of this methods.

Keywords

References

  1. Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96.
  2. 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
  3. Atanassov, L. Vassilev, P.Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures andintegrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic PublishingHouse, Sofia.
  4. 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.
  5. 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 .
  6. J.H. He, Variational iteration method-A kind of nonlinear analytical technique: some examples, International Journal of Non-Linear Mechanics 34 (1999) 699-708.
  7. J.H He, Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons and Fractals 19(2004) 847-851.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 31, 2020

Submission Date

October 20, 2019

Acceptance Date

February 27, 2020

Published in Issue

Year 2020 Volume: 3 Number: 1

APA
Harir, A., Said, M., & Saadia, C. (2020). INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS. Journal of Universal Mathematics, 3(1), 33-45. https://doi.org/10.33773/jum.635097
AMA
1.Harir A, Said M, Saadia C. INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS. JUM. 2020;3(1):33-45. doi:10.33773/jum.635097
Chicago
Harir, Atimad, Melliani Said, and Chadli Saadia. 2020. “INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS”. Journal of Universal Mathematics 3 (1): 33-45. https://doi.org/10.33773/jum.635097.
EndNote
Harir A, Said M, Saadia C (January 1, 2020) INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS. Journal of Universal Mathematics 3 1 33–45.
IEEE
[1]A. Harir, M. Said, and C. Saadia, “INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS”, JUM, vol. 3, no. 1, pp. 33–45, Jan. 2020, doi: 10.33773/jum.635097.
ISNAD
Harir, Atimad - Said, Melliani - Saadia, Chadli. “INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS”. Journal of Universal Mathematics 3/1 (January 1, 2020): 33-45. https://doi.org/10.33773/jum.635097.
JAMA
1.Harir A, Said M, Saadia C. INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS. JUM. 2020;3:33–45.
MLA
Harir, Atimad, et al. “INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS”. Journal of Universal Mathematics, vol. 3, no. 1, Jan. 2020, pp. 33-45, doi:10.33773/jum.635097.
Vancouver
1.Atimad Harir, Melliani Said, Chadli Saadia. INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS. JUM. 2020 Jan. 1;3(1):33-45. doi:10.33773/jum.635097