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
- 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.
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