On Fuzzy Differential Inequalities with Upper and Lower Solutions

Abstract

In this article, by using the technique of upper and lower solutions, some comparison results for first-order fuzzy differential equations are established. Hukuhara derivative, Hukuhara difference, and partial orderings are used for proving theorems. We extend our results to initial time difference case as well. Also, the practicality of these comparison results is demonstrated by giving an example.

Keywords

• Fuzzy number
• upper and lower solutions
• Hukuhara derivative

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