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Year 2020, Volume: 3 Issue: 1, 33 - 45, 31.01.2020

Atimad Harir , Melliani Said Chadli Saadia

https://doi.org/10.33773/jum.635097

Abstract

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.
  • 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

INTUITIONISTIC FUZZY HEAT-LIKE EQUATIONS

Year 2020, Volume: 3 Issue: 1, 33 - 45, 31.01.2020

Atimad Harir , Melliani Said Chadli Saadia

https://doi.org/10.33773/jum.635097

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

Variational Iteration Method intuitionistic fuzzy solution

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.
  • 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
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Atimad Harir

Melliani Said This is me

Chadli Saadia

Publication Date January 31, 2020
Submission Date October 20, 2019
Acceptance Date February 27, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

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