SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS

Xuping Zhang; Donal O’regan

doi:10.11948/20220269

SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS

Xuping Zhang, Donal O’regan

Mathematics

Northwest Normal University China

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

1 Citation (Scopus)

Abstract

In this paper, we prove existence and uniqueness of two kinds of fuzzy mild solutions for fuzzy fractional evolution equations with delay and nonlocal conditions under Caputo gH differentiability. In particular, the strong restriction on the constants in the condition of Lipschitzian is com-pletely removed when the nonlocal term g ≡ 0. An example is provided to illustrate our results.

Original language	English
Pages (from-to)	1000-1013
Number of pages	14
Journal	Journal of Applied Analysis and Computation
Volume	13
Issue number	2
DOIs	https://doi.org/10.11948/20220269
Publication status	Published - Apr 2023

Keywords

delay
Fuzzy fractional evolution equations
fuzzy mild solution
fuzzy strongly continuous semigroup
nonlocal delay initial condition

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10.11948/20220269

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title = "SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS",

abstract = "In this paper, we prove existence and uniqueness of two kinds of fuzzy mild solutions for fuzzy fractional evolution equations with delay and nonlocal conditions under Caputo gH differentiability. In particular, the strong restriction on the constants in the condition of Lipschitzian is com-pletely removed when the nonlocal term g ≡ 0. An example is provided to illustrate our results.",

keywords = "delay, Fuzzy fractional evolution equations, fuzzy mild solution, fuzzy strongly continuous semigroup, nonlocal delay initial condition",

author = "Xuping Zhang and Donal O{\textquoteright}regan",

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AU - Zhang, Xuping

AU - O’regan, Donal

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N2 - In this paper, we prove existence and uniqueness of two kinds of fuzzy mild solutions for fuzzy fractional evolution equations with delay and nonlocal conditions under Caputo gH differentiability. In particular, the strong restriction on the constants in the condition of Lipschitzian is com-pletely removed when the nonlocal term g ≡ 0. An example is provided to illustrate our results.

AB - In this paper, we prove existence and uniqueness of two kinds of fuzzy mild solutions for fuzzy fractional evolution equations with delay and nonlocal conditions under Caputo gH differentiability. In particular, the strong restriction on the constants in the condition of Lipschitzian is com-pletely removed when the nonlocal term g ≡ 0. An example is provided to illustrate our results.

KW - delay

KW - Fuzzy fractional evolution equations

KW - fuzzy mild solution

KW - fuzzy strongly continuous semigroup

KW - nonlocal delay initial condition

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DO - 10.11948/20220269

M3 - Article

AN - SCOPUS:85152058197

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JO - Journal of Applied Analysis and Computation

JF - Journal of Applied Analysis and Computation

IS - 2

ER -

SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS

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Keywords

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