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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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آمار تعداد مشاهده مقاله: 65 تعداد دریافت فایل اصل مقاله: 102 |
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