Affiliations: College of Mathematics and Statistics, Northwest Normal University, Lanzhou, PR China
Correspondence:
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Corresponding author. Hong Yang, College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, PR China. Tel.: +8613619316908. E-mail: [email protected].
Note: [1] This work is supported by National Natural Science Foundation of China (12161082, 12061067) and Natural Science Foundation of Gansu Province (21JR7RA134) and Innovation Fund for Colleges and Universities of Gansu Department of Education(2020A-009) and the improvement Plan for the Scientific Research Ability of Young Teachers in Northwest Normal University (NWNU-LKQN-18-29).
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.
