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Solving the BVP to a class of second-order linear fuzzy differential equations under granular differentiability concept1.
- Source :
-
Journal of Intelligent & Fuzzy Systems . 2022, Vol. 42 Issue 6, p5483-5499. 17p. - Publication Year :
- 2022
-
Abstract
- Based on the granular derivative and the horizontal membership function of fuzzy-number-valued-function, the existence and uniqueness of solutions of two-point boundary value problem (BVP) for a class of second-order linear fuzzy ordinary differential equations are given, including the homogeneous BVP, the semi-homogeneous BVP and the non-homogeneous BVP. However, this is somewhat different from ordinary differential equations. In fact, we can think of it simply as the transformation from a number to a set, or we can think of it macroscopically as the transformation from a point to a plane. At the same time, appropriate examples are given to illustrate this conclusion. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10641246
- Volume :
- 42
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Intelligent & Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 156742474
- Full Text :
- https://doi.org/10.3233/JIFS-211958