Existence and uniqueness of mild solutions for abstract delay fractional differential equations

Kexue Li; Junxiong Jia

doi:10.1016/j.camwa.2011.02.038

Existence and uniqueness of mild solutions for abstract delay fractional differential equations

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

51 引用（Scopus）

摘要

In this paper, by means of solution operator approach and contraction mapping theorem, the existence and uniqueness of mild solutions for a class of abstract delay fractional differential equations are obtained.

源语言	英语
页（从-至）	1398-1404
页数	7
期刊	Computers and Mathematics with Applications
卷	62
期	3
DOI	https://doi.org/10.1016/j.camwa.2011.02.038
出版状态	已出版 - 8月 2011

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title = "Existence and uniqueness of mild solutions for abstract delay fractional differential equations",

abstract = "In this paper, by means of solution operator approach and contraction mapping theorem, the existence and uniqueness of mild solutions for a class of abstract delay fractional differential equations are obtained.",

keywords = "Contraction mapping theorem, Delay fractional differential equation, Mild solution, Solution operator",

author = "Kexue Li and Junxiong Jia",

year = "2011",

month = aug,

doi = "10.1016/j.camwa.2011.02.038",

language = "英语",

volume = "62",

pages = "1398--1404",

journal = "Computers and Mathematics with Applications",

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AU - Li, Kexue

AU - Jia, Junxiong

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N2 - In this paper, by means of solution operator approach and contraction mapping theorem, the existence and uniqueness of mild solutions for a class of abstract delay fractional differential equations are obtained.

AB - In this paper, by means of solution operator approach and contraction mapping theorem, the existence and uniqueness of mild solutions for a class of abstract delay fractional differential equations are obtained.

KW - Contraction mapping theorem

KW - Delay fractional differential equation

KW - Mild solution

KW - Solution operator

UR - https://www.scopus.com/pages/publications/79960974453

U2 - 10.1016/j.camwa.2011.02.038

DO - 10.1016/j.camwa.2011.02.038

M3 - 文章

AN - SCOPUS:79960974453

SN - 0898-1221

VL - 62

SP - 1398

EP - 1404

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3

ER -

Existence and uniqueness of mild solutions for abstract delay fractional differential equations

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