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

  • Nguyen Dinh PhuEmail author
  • Nguyen Nhut Hung
Methodologies and Application
  • 22 Downloads

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.

Keywords

Fuzzy generalized derivatives The fuzzy second-order differential equations The multi-point boundary value problems The real Green’s function method 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Human and animal rights

This study does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Division of Computational Mathematics and Engineering, Institute for Computational ScienceTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam
  3. 3.Faculty of Mathematics and Computer ScienceUniversity of Science, Vietnam National UniversityHo Chi Minh CityVietnam

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