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Bahrami, Fariba, Alikhani, Robab, Khastan, Alireza. (1397). TRANSPORT EQUATION WITH FUZZY DATA. نشریه علمی دانشگاه سیستان و بلوچستان, 15(7), 67-78. doi: 10.22111/ijfs.2018.4282
Fariba Bahrami; Robab Alikhani; Alireza Khastan. "TRANSPORT EQUATION WITH FUZZY DATA". نشریه علمی دانشگاه سیستان و بلوچستان, 15, 7, 1397, 67-78. doi: 10.22111/ijfs.2018.4282
Bahrami, Fariba, Alikhani, Robab, Khastan, Alireza. (1397). 'TRANSPORT EQUATION WITH FUZZY DATA', نشریه علمی دانشگاه سیستان و بلوچستان, 15(7), pp. 67-78. doi: 10.22111/ijfs.2018.4282
Bahrami, Fariba, Alikhani, Robab, Khastan, Alireza. TRANSPORT EQUATION WITH FUZZY DATA. نشریه علمی دانشگاه سیستان و بلوچستان, 1397; 15(7): 67-78. doi: 10.22111/ijfs.2018.4282

TRANSPORT EQUATION WITH FUZZY DATA

Iranian Journal of Fuzzy Systems
مقاله 6، دوره 15، شماره 7، آذر و دی 2018، صفحه 67-78    اصل مقاله (420.64 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4282
نویسندگان
Fariba Bahrami* 1؛ Robab Alikhani1؛ Alireza Khastan2
1Department of Mathematics, University of Tabriz, Tabriz, Iran
2Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan 45137-66731, Iran
چکیده
In this paper, we use the generalized differentiability concept to
study the fuzzy transport equation. We consider transport equation
in the homogeneous and non-homogeneous cases with fuzzy initial
condition. We also present the solution when speed parameter is a fuzzy
number. Our method is based on the construction of the solutions
by employing Zadeh's extension principle.
کلیدواژه‌ها
Fuzzy partial differential equation؛ Transport equation؛ Generalized differentiability
مراجع
[1] R. Alikhani and F. Bahrami, Global solutions of fuzzy integro-differential equations under
generalized differentiability by the method of upper and lower solutions, Inform. Sci., 295
(2015), 600{608.
[2] S. E. Amrahov, A. Khastan, N. Gasilov and A. G. Fatullayev, Relationship between Bede-Gal
differentiable set-valued functions and their associated support functions, Fuzzy Sets Syst.,
295 (2016), 57{71.
[3] B. Bede and L. Stefanini, Generalized di erentiability of fuzzy-valued functions, Fuzzy Sets
Syst., 230 (2013), 119{141.
[4] B. Bede, I. J. Rudas and A. L. Bencsik, First order linear fuzzy differential equations under
generalized differentiability, Inform. Sci., 177 (2007), 1648{1662.
[5] B. Bede, Mathematics of Fuzzy Sets and Fuzzy Logic, Springer, London, 2013.
[6] J. J. Buckley and T. Feuring, Introduction to fuzzy partial differential equations, Fuzzy Sets
Syst., 105 (1999), 241{248.
[7] A. M. Bertone, R. M. Jafelice, L. C. de Barros and R. C. Bassanezi, On fuzzy solutions for
partial differential equations, Fuzzy Sets Syst., 210 (2013), 68{80.
[8] Y. Y. Chen, Y. T. Chang and B. S. Chen, Fuzzy Solutions to Partial Differential Equations:
Adaptive Approach, IEEE Transactions on Fuzzy Systems, 17 (2009), 116{127.
[9] P. E. Kloedena and T. Lorenz, A Peano theorem for fuzzy differential equations with evolving
membership grade, Fuzzy Sets and Syst., 280 (2015), 1{26.
[10] H.V. Long, N. T. K. Son and H. T. T. Tam, The solvability of fuzzy fractional partial
differential equations under Caputo gH-differentiability, Fuzzy Sets and Syst., 309 (2017),
35{63.

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