Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay

V. Angulo-Castillo; Y. Chalco-Cano; A. Khastan; E. J. Villamizar-Roa

doi:10.22111/IJFS.2020.5597

Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay

V. Angulo-Castillo
, Y. Chalco-Cano
, A. Khastan
, E. J. Villamizar-Roa

Departamento de Matemática

Universidad Nacional de Colombia
Institute for Advanced Studies in Basic Sciences, Zanjan
Universidad Industrial de Santander

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

6 Citas (Scopus)

Resumen

In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.

Idioma original	Inglés
Páginas (desde-hasta)	1-15
Número de páginas	15
Publicación	Iranian Journal of Fuzzy Systems
Volumen	17
N.º	6
DOI	https://doi.org/10.22111/IJFS.2020.5597
Estado	Publicada - 2020

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title = "Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay",

abstract = "In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.",

keywords = "Contractive mappings, Finite delay, Fuzzy differential equations, Generalized Hukuhara differentiability",

author = "V. Angulo-Castillo and Y. Chalco-Cano and A. Khastan and Villamizar-Roa, \{E. J.\}",

year = "2020",

doi = "10.22111/IJFS.2020.5597",

language = "English",

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pages = "1--15",

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T1 - Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay

AU - Angulo-Castillo, V.

AU - Chalco-Cano, Y.

AU - Khastan, A.

AU - Villamizar-Roa, E. J.

PY - 2020

Y1 - 2020

N2 - In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.

AB - In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.

KW - Contractive mappings

KW - Finite delay

KW - Fuzzy differential equations

KW - Generalized Hukuhara differentiability

UR - https://www.scopus.com/pages/publications/85090519516

U2 - 10.22111/IJFS.2020.5597

DO - 10.22111/IJFS.2020.5597

M3 - Article

AN - SCOPUS:85090519516

SN - 1735-0654

VL - 17

SP - 1

EP - 15

JO - Iranian Journal of Fuzzy Systems

JF - Iranian Journal of Fuzzy Systems

IS - 6

ER -

Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay

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