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

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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 \(E^{1}\), such that we have shown the ability to and methods to find solution of the MBVP for FSDEs in the form of \((FH^{gi}-FH^{gj})\)-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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Authors and Affiliations

  1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Nguyen Dinh Phu

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Nguyen Dinh Phu

  3. Faculty of Mathematics and Computer Science, University of Science, Vietnam National University, Ho Chi Minh City, Vietnam

    Nguyen Nhut Hung

Authors
  1. Nguyen Dinh Phu
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  2. Nguyen Nhut Hung
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Correspondence to Nguyen Dinh Phu.

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Phu, N.D., Hung, N.N. Some solving methods for a fuzzy multi-point boundary value problem. Soft Comput 24, 483–499 (2020). https://doi.org/10.1007/s00500-019-03926-3

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