Existence of solutions to nonlinear impulsive fuzzy differential equations-Reference-Cited by-同舟云学术

Existence of solutions to nonlinear impulsive fuzzy differential equations

Published:2023 Issue:4 Volume:37 Page:1223-1240
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Liu Rui¹,Wang Jinrong¹,O’Regan Donal²

Affiliation:

1. Department of Mathematics, Guizhou University, Guiyang, Guizhou, China

2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

Abstract

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 solutions are written as hyperbolic cosine and sine functions with impulsive terms, which is the main difficulty. An example is provided to prove our results.

Publisher

National Library of Serbia

Subject

General Mathematics

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