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

Authors: 

Nguyen Dinh Phu, Nguyen Nhut Hung

Source title: 
Soft Computing, pp. 1-17, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

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, such that we have shown the ability to and methods to find solution of the MBVP for FSDEs in the form of (FHgi−FHgj) -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.