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

School of Mathematics and Statistics

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

50 Scopus citations

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.

Original language	English
Pages (from-to)	1398-1404
Number of pages	7
Journal	Computers and Mathematics with Applications
Volume	62
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2011.02.038
State	Published - Aug 2011

Keywords

Contraction mapping theorem
Delay fractional differential equation
Mild solution
Solution operator

Access to Document

10.1016/j.camwa.2011.02.038

Cite this

@article{a9b4b173e2f248efbde8529b5b623441,

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",

issn = "0898-1221",

publisher = "Elsevier Ltd",

number = "3",

}

TY - JOUR

T1 - Existence and uniqueness of mild solutions for abstract delay fractional differential equations

AU - Li, Kexue

AU - Jia, Junxiong

PY - 2011/8

Y1 - 2011/8

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this