TY - JOUR
ID - 5912
TI - On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Kim Son, N. T.
AU - Long, H. V.
AU - Dong, N. P.
AD - Faculty of Natural Science, Hanoi Metropolitan University, Hanoi, Vietnam
AD - Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho
Chi Minh City, Vietnam
AD - Department of Mathematics, Hanoi Pedagogical University 2, Hanoi, Vietnam
Y1 - 2021
PY - 2021
VL - 18
IS - 2
SP - 31
EP - 49
KW - Fuzzy random partial differential equations
KW - generalized metric spaces
KW - generalized Lipschitz conditions
DO - 10.22111/ijfs.2021.5912
N2 - 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.
UR - https://ijfs.usb.ac.ir/article_5912.html
L1 - https://ijfs.usb.ac.ir/article_5912_6b49515aa2a8dda2fca33fe8baee494e.pdf
ER -