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Kim Son, N. T., Long, H. V., Dong, N. P.. (1400). On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions. نشریه علمی دانشگاه سیستان و بلوچستان, 18(2), 31-49. doi: 10.22111/ijfs.2021.5912
N. T. Kim Son; H. V. Long; N. P. Dong. "On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions". نشریه علمی دانشگاه سیستان و بلوچستان, 18, 2, 1400, 31-49. doi: 10.22111/ijfs.2021.5912
Kim Son, N. T., Long, H. V., Dong, N. P.. (1400). 'On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions', نشریه علمی دانشگاه سیستان و بلوچستان, 18(2), pp. 31-49. doi: 10.22111/ijfs.2021.5912
Kim Son, N. T., Long, H. V., Dong, N. P.. On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions. نشریه علمی دانشگاه سیستان و بلوچستان, 1400; 18(2): 31-49. doi: 10.22111/ijfs.2021.5912

On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions

Iranian Journal of Fuzzy Systems
دوره 18، شماره 2، خرداد و تیر 2021، صفحه 31-49    اصل مقاله (311.06 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2021.5912
نویسندگان
N. T. Kim Son* 1؛ H. V. Long2؛ N. P. Dong3
1Faculty of Natural Science, Hanoi Metropolitan University, Hanoi, Vietnam
2Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3Department of Mathematics, Hanoi Pedagogical University 2, Hanoi, Vietnam
چکیده
Fuzzy random partial differential equations (PDEs) present a connection between random dynamical systems with nonstatistical inexactness data. These blended models could be efficiently used in modeling dynamical systems working in vagueness and ambiguity environments such as fuzzy random adaptive control, fuzzy random financial prediction, fuzzy random biological modeling, etc. In this article, we study Goursat problem for fuzzy random wave equations in the framework of generalized complete metric spaces in the sense of Luxemburg. We consider equations under generalized Hukuhara differentiability. The force functions are constrained by generalized Lipschitz conditions, that makes the range of PDEs types wider than using unbounded and locally Lipschitz conditions. The existence, uniqueness and boundedness of fuzzy solutions are investigated by employing Picard successive approximation method and Luxemburg fixed point theorem. Some illustrated examples are given to demonstrate for theoretical results.
کلیدواژه‌ها
Fuzzy random partial differential equations؛ generalized metric spaces؛ generalized Lipschitz conditions
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