A note on initial value problems for fractional fuzzy differential equations

Hoa Van Ngo; Vasile Lupulescu; Donal O'Regan

doi:10.1016/j.fss.2017.10.002

A note on initial value problems for fractional fuzzy differential equations

Hoa Van Ngo, Vasile Lupulescu, Donal O'Regan

Mathematics

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

93 Citations (Scopus)

Abstract

In this note, we present some remarks on solutions of fractional fuzzy differential equation. In general, a fractional fuzzy differential equation and a fractional fuzzy integral equation are not equivalent. In this paper we give an appropriate condition so that this equivalence is valid. Some examples are provided to illustrate the theory.

Original language	English
Pages (from-to)	54-69
Number of pages	16
Journal	Fuzzy Sets and Systems
Volume	347
DOIs	https://doi.org/10.1016/j.fss.2017.10.002
Publication status	Published - 15 Sep 2018

Keywords

Fractional calculus
Fractional fuzzy differential equations
Fractional fuzzy integral equations

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10.1016/j.fss.2017.10.002

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title = "A note on initial value problems for fractional fuzzy differential equations",

abstract = "In this note, we present some remarks on solutions of fractional fuzzy differential equation. In general, a fractional fuzzy differential equation and a fractional fuzzy integral equation are not equivalent. In this paper we give an appropriate condition so that this equivalence is valid. Some examples are provided to illustrate the theory.",

keywords = "Fractional calculus, Fractional fuzzy differential equations, Fractional fuzzy integral equations",

author = "Ngo, \{Hoa Van\} and Vasile Lupulescu and Donal O'Regan",

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year = "2018",

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day = "15",

doi = "10.1016/j.fss.2017.10.002",

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T1 - A note on initial value problems for fractional fuzzy differential equations

AU - Ngo, Hoa Van

AU - Lupulescu, Vasile

AU - O'Regan, Donal

PY - 2018/9/15

Y1 - 2018/9/15

N2 - In this note, we present some remarks on solutions of fractional fuzzy differential equation. In general, a fractional fuzzy differential equation and a fractional fuzzy integral equation are not equivalent. In this paper we give an appropriate condition so that this equivalence is valid. Some examples are provided to illustrate the theory.

AB - In this note, we present some remarks on solutions of fractional fuzzy differential equation. In general, a fractional fuzzy differential equation and a fractional fuzzy integral equation are not equivalent. In this paper we give an appropriate condition so that this equivalence is valid. Some examples are provided to illustrate the theory.

KW - Fractional calculus

KW - Fractional fuzzy differential equations

KW - Fractional fuzzy integral equations

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U2 - 10.1016/j.fss.2017.10.002

DO - 10.1016/j.fss.2017.10.002

M3 - Article

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VL - 347

SP - 54

EP - 69

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

A note on initial value problems for fractional fuzzy differential equations

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