4.6 Article

Some solvingmethods for a fuzzy multi-point boundary value problem

期刊

SOFT COMPUTING
卷 24, 期 1, 页码 483-499

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SPRINGER
DOI: 10.1007/s00500-019-03926-3

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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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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 E-1, 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.

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