On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions
محل انتشار: مجله سیستم های فازی، دوره: 18، شماره: 2
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 137
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شناسه ملی سند علمی:
JR_IJFS-18-2_004
تاریخ نمایه سازی: 30 خرداد 1400
چکیده مقاله:
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.
کلیدواژه ها:
Fuzzy random partial differential equations ، generalized metric spaces ، generalized Lipschitz conditions
نویسندگان
N. T. Kim Son
Faculty of Natural Science, Hanoi Metropolitan University, Hanoi, Vietnam
H. V. Long
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
N. P. Dong
Department of Mathematics, Hanoi Pedagogical University ۲, Hanoi, Vietnam