| Title of paper:
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Solving second order intuitionistic fuzzy differential equation by intuitionistic fuzzy Sumudu transform method
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| Author(s):
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Razika Ettoussi 0000-0001-8413-6607
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| Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| saman@ulm.ac.id
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Said Melliani 0000-0002-5150-1185
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| Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| s.melliani@usms.ma
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| Lalla Saadia Chadli
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| Department of Mathematics, Laboratory of Applied Mathematics and Scientific Computing, FST, Sultan Moulay Slimane University, Beni Mellal, Morocco
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| sa.chadli@yahoo.fr
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 2, pages 217–226
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| DOI:
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https://doi.org/10.7546/nifs.2025.31.2.217-226
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| Download:
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PDF (202 Kb, File info)
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| Abstract:
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In this work, the main finding associated with the intuitionistic fuzzy Sumudu transforms is proved in detail. Furthermore, the resolution of second-order intuitionistic fuzzy differential equations is investigated by means of the intuitionistic fuzzy Sumudu transforms method. Finally, a numerical example is provided to demonstrate the accuracy of the suggested approach.
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| Keywords:
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Intuitionistic fuzzy solution, Intuitionistic fuzzy number, Intuitionistic fuzzy Sumudu transform.
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| AMS Classification:
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34A07, 03E72, 44A10.
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| References:
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- Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Ettoussi, R., Melliani, S., & Chadli, L. S. (2017). Differential equation with intuitionistic fuzzy parameters. Notes on Intuitionistic Fuzzy Sets, 23(4), 46–61.
- Ettoussi, R., Melliani, S., Chadli, L. S. (2019). On intuitionistic fuzzy Laplace transforms for second order intuitionistic fuzzy differential equations. In: Melliani, S., & Castillo, O. (Eds.). Recent Advances in Intuitionistic Fuzzy Logic Systems. Studies in Fuzziness and Soft Computing, Springer, Cham, Vol. 372, 153–168.
- Ettoussi, R., Melliani, S., Elomari, M., & Chadli, L. S. (2015). Solution of intuitionistic fuzzy differential equations by successive approximations method. Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62.
- Ettoussi, R., Melliani, S., & Chadli, L. S. (2023). On intuitionistic fuzzy Sumudu transform for intuitionistic fuzzy differential equations. Lecture Notes in Networks and Systems, Vol. 476, 356–367.
- John Robinson, P., & Jeeva, S. (2017). MAGDM problems with sumudu transform for interval valued intuitionistic triangular fuzzy sets MAGDM problems with sumudu transform for interval valued intuitionistic triangular fuzzy sets. IEEE International Conference on Power, Control, Signals and Instrumentation Engineering (ICPCSI), Chennai, India, 958–963.
- John Robinson, P., & Jeeva, S. (2019). Intuitionistic trapezoidal fuzzy MAGDM problems with Sumudu transform in numerical methods. International Journal of Fuzzy System Applications, 8(3), 1–46.
- Keyanpour, M., & Akbarian, T. (2014). Solving intuitionistic fuzzy nonlinear equations. Journal of Fuzzy Set Valued Analysis, 2014, 1–6.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015). Intuitionistic fuzzy metric spaces. Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Melliani, S., & Chadli, L. S. (2001). Introduction to intuitionistic fuzzy partial differential equations. Notes on Intuitionistic Fuzzy Sets, 7(3), 39–42.
- Melliani, S., & Chadli, L. S. (2000). Intuitionistic fuzzy differential equation. Part 1. Notes on Intuitionistic Fuzzy Sets, 6(2), 37–41.
- Ramazannia Tolouti, S. J., & Barkhordary Ahmadi, M. (2010). Fuzzy Laplace transform on two order derivative and solving fuzzy two order differential equation. International Journal of Industrial Mathematics, 2(4), 279–293.
- Watugala, G. K. (1993). Sumudu transform: A new integral transform to solve differential equations and control engineering problems. International Journal of Mathematical Education in Science and Technology, 24(1), 35–43.
- Watugala, G. K. (1998). Sumudu transforms new integral transform to solve differential equations and control engineering problems. Mathematical Engineering in Industry, 6(4), 319–329.
- Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
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