Issue:Intuitionistic fuzzy transport equation

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Title of paper: Intuitionistic fuzzy transport equation Author(s): Zineb Belhallaj LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco zineb.belhallaj@gmail.com Said Melliani LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco s.melliani@usms.ma M’hamed Elomari LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco m.elomari@usms.ma Lalla Saadia Chadli LMACS, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco sa.chadli@yahoo.fr Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 3, pages 83–97 DOI: https://doi.org/10.7546/nifs.2021.27.3.83-97 Download:  PDF (307  Kb, File info) Abstract: In the present paper, we use the generalized differentiability concept to study the intuitionistic fuzzy transport equation. We consider transport equation in the homogeneous and non-homogeneous cases with intuitionistic fuzzy initial condition. To illustrate the results, we will solve an advection equation using the finite difference method. Keywords: Intuitionistic fuzzy differential equations, Intuitionistic fuzzy transport equation, Finite difference method. AMS Classification: 03E72, 35Q49. References: Atanassov, K. T. (1983). Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20–23. Atanassov, K. T. (1994). New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61(2), 137–142. Atanassov, K. T. (2017). Intuitionistic Fuzzy Logics. Studies in Fuzziness and Soft Computing, 351, Springer, Cham. Bede, B., Rudas, I. J., & Bencsik, A. (2007). First order linear differential equations under generalized differentiability. Information Sciences, 177, 1648–1662. Bertone, A. M., Jafelice, R. M., Barros, L. C., & Bassanezi, R. C. (2013). On fuzzy solutions for partial differential equations. Fuzzy Sets and Systems, 210, 68–80. Melliani, S., Ettoussi, R., 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. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015). Intuitionistic fuzzy metric space. Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53. Melliani, S., Belhallaj, Z., Elomari, M., & Chadli, L. S. (2021). Approximate Solution of Intuitionistic Fuzzy Differential Equations with the Linear Differential Operator by the Homotopy Analysis Method. Advances in Fuzzy Systems. Prakash, J., Arun Balaji, R., & Wakgari, D. (2019). A Method for solving fuzzy partial differential equation by fuzzy separation. International Research Journal of Engineering and Technology, 6(1), 77–86. Seikkala, S. (1987). On the fuzzy initial value problem. Fuzzy Sets and Systems, 24, 319–330. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. Citations: Issue:Existence and uniqueness of intuitionistic fuzzy solution for semilinear intuitionistic fuzzy integro-differential equations with nonlocal conditions ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.