Existence of solutions to nonlinear impulsive fuzzy differential equations

被引：1

作者：

Liu, Rui ^{[1
]}

Wang, JinRong ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

FILOMAT | 2023年 / 37卷 / 04期

关键词：

solutions; existence and uniqueness; (c1)-differentiable solutions; (c2)-differentiable solutions;

D O I：

10.2298/FIL2304223L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the existence and uniqueness of (c1)-differentiable and (c2) -differentiable solutions to first-order nonlinear impulsive fuzzy differential equations under generalized Hukuhara differentiability using the contraction mappings principle. In particular, (c1)-differentiable solu-tions are written as hyperbolic cosine and sine functions with impulsive terms, which is the main difficulty. An example is provided to prove our results.

引用

页码：1223 / 1240

页数：18

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