Some solving methods for a fuzzy multi-point boundary value problem

被引:0
|
作者
Nguyen Dinh Phu
Nguyen Nhut Hung
机构
[1] Ton Duc Thang University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] University of Science,Faculty of Mathematics and Computer Science
[4] Vietnam National University,undefined
来源
Soft Computing | 2020年 / 24卷
关键词
Fuzzy generalized derivatives; The fuzzy second-order differential equations; The multi-point boundary value problems; The real Green’s function method;
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学科分类号
摘要
In this paper, we consider a fuzzy multi-point boundary value problem-FMBVP [or a multi-point boundary value problem (MBVP) for fuzzy second-order differential equations (FSDEs) under generalized Hukuhara differentiability]. We present solving methods for a FMBVP in the space of fuzzy numbers E1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$E^{1}$$\end{document}, such that we have shown the ability to and methods to find solution of the MBVP for FSDEs in the form of (FHgi-FHgj)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(FH^{gi}-FH^{gj})$$\end{document}-solutions. In addition, we provide with a new idea to develop the real Green’s function method and give two examples being simple illustration of this FMBVP.
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页码:483 / 499
页数:16
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