Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles

Elder J. Villamizar-Roa; Vladimir Angulo-Castillo; Yurilev Chalco-Cano

doi:10.1016/j.fss.2014.07.015

Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles

Elder J. Villamizar-Roa
, Vladimir Angulo-Castillo
, Yurilev Chalco-Cano

Department of Mathematics

Universidad Industrial de Santander

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

Abstract

We study the existence and uniqueness of solution for fuzzy initial value problems in the setting of a generalized Hukuhara derivative and by using some recent results of fixed point of weakly contractive mappings on partially ordered sets.

Original language	English
Pages (from-to)	24-38
Number of pages	15
Journal	Fuzzy Sets and Systems
Volume	265
DOIs	https://doi.org/10.1016/j.fss.2014.07.015
State	Published - 15 Apr 2015

Keywords

Contractive mappings
Fuzzy differentiability
Fuzzy differential equations

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10.1016/j.fss.2014.07.015

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title = "Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles",

abstract = "We study the existence and uniqueness of solution for fuzzy initial value problems in the setting of a generalized Hukuhara derivative and by using some recent results of fixed point of weakly contractive mappings on partially ordered sets.",

keywords = "Contractive mappings, Fuzzy differentiability, Fuzzy differential equations",

author = "Villamizar-Roa, \{Elder J.\} and Vladimir Angulo-Castillo and Yurilev Chalco-Cano",

year = "2015",

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doi = "10.1016/j.fss.2014.07.015",

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T1 - Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles

AU - Villamizar-Roa, Elder J.

AU - Angulo-Castillo, Vladimir

AU - Chalco-Cano, Yurilev

PY - 2015/4/15

Y1 - 2015/4/15

N2 - We study the existence and uniqueness of solution for fuzzy initial value problems in the setting of a generalized Hukuhara derivative and by using some recent results of fixed point of weakly contractive mappings on partially ordered sets.

AB - We study the existence and uniqueness of solution for fuzzy initial value problems in the setting of a generalized Hukuhara derivative and by using some recent results of fixed point of weakly contractive mappings on partially ordered sets.

KW - Contractive mappings

KW - Fuzzy differentiability

KW - Fuzzy differential equations

UR - https://www.scopus.com/pages/publications/84923115772

U2 - 10.1016/j.fss.2014.07.015

DO - 10.1016/j.fss.2014.07.015

M3 - Article

AN - SCOPUS:84923115772

SN - 0165-0114

VL - 265

SP - 24

EP - 38

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles

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Keywords

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