On the solutions of first-order linear impulsive fuzzy differential equations

Rui Liu; Jin Rong Wang; Donal O'Regan

doi:10.1016/j.fss.2019.11.001

On the solutions of first-order linear impulsive fuzzy differential equations

Rui Liu, Jin Rong Wang, Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

17 Citations (Scopus)

Abstract

This paper gives a representation of solutions to first-order linear impulsive fuzzy differential equations with constant coefficients. Using a generalized differentiability concept and an impulsive fundamental matrix we present ideas similar to those in linear fuzzy differential equations for impulsive fuzzy Cauchy problems. Finally, numerical examples are given to illustrate the theory.

Original language	English
Pages (from-to)	1-33
Number of pages	33
Journal	Fuzzy Sets and Systems
Volume	400
DOIs	https://doi.org/10.1016/j.fss.2019.11.001
Publication status	Published - 1 Dec 2020

Keywords

H-difference
H-differentiable solutions
Linear impulsive fuzzy differential equations

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Liu, R;Wang, JR;O'Regan, D

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10.1016/j.fss.2019.11.001

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title = "On the solutions of first-order linear impulsive fuzzy differential equations",

abstract = "This paper gives a representation of solutions to first-order linear impulsive fuzzy differential equations with constant coefficients. Using a generalized differentiability concept and an impulsive fundamental matrix we present ideas similar to those in linear fuzzy differential equations for impulsive fuzzy Cauchy problems. Finally, numerical examples are given to illustrate the theory.",

keywords = "H-difference, H-differentiable solutions, Linear impulsive fuzzy differential equations",

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AU - Liu, Rui

AU - Wang, Jin Rong

AU - O'Regan, Donal

PY - 2020/12/1

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N2 - This paper gives a representation of solutions to first-order linear impulsive fuzzy differential equations with constant coefficients. Using a generalized differentiability concept and an impulsive fundamental matrix we present ideas similar to those in linear fuzzy differential equations for impulsive fuzzy Cauchy problems. Finally, numerical examples are given to illustrate the theory.

AB - This paper gives a representation of solutions to first-order linear impulsive fuzzy differential equations with constant coefficients. Using a generalized differentiability concept and an impulsive fundamental matrix we present ideas similar to those in linear fuzzy differential equations for impulsive fuzzy Cauchy problems. Finally, numerical examples are given to illustrate the theory.

KW - H-difference

KW - H-differentiable solutions

KW - Linear impulsive fuzzy differential equations

UR - https://www.scopus.com/pages/publications/85075399871

U2 - 10.1016/j.fss.2019.11.001

DO - 10.1016/j.fss.2019.11.001

M3 - Article

SN - 0165-0114

VL - 400

SP - 1

EP - 33

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

On the solutions of first-order linear impulsive fuzzy differential equations

Abstract

Keywords

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