Existence and uniqueness of solution for a class of nonlinear fractional differential equations

被引：6

作者：

Ma, Shichang ^{[2
]}

Xu, Yufeng ^{[1
]}

Yue, Wei ^{[2
]}

机构：

[1] Cent South Univ, Dept Appl Math, Changsha 410083, Hunan, Peoples R China

[2] Cent South Univ, Sch Business, Changsha 410083, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

nonlinear fractional differential equations; general irregular boundary conditions; existence; fixed-point theorem; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; MODEL; SYSTEM;

D O I：

10.1186/1687-1847-2012-133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping principle. Moreover, the boundary condition is extended, therefore, some conclusions from other references are special cases of our results. MSC: 26A33, 34A08.

引用

页码：1 / 11

页数：11

共 50 条

[21] Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
Ouyang, Zigen
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 860 - 870
[22] SOME EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Marasi, H. R.
Afshari, H.
Zhai, C. B.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (02) : 571 - 585
[23] Existence and uniqueness result for a class of sequential fractional differential equations
Qingdong Li
Han Su
Zhongli Wei
Li, Q. (qingdonglee@gmail.com), 1600, Springer Verlag (38): : 641 - 652
[24] NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Li, Nan
Wang, Changyou
ACTA MATHEMATICA SCIENTIA, 2013, 33 (03) : 847 - 854
[25] NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
李楠
王长有
Acta Mathematica Scientia, 2013, 33 (03) : 847 - 854
[26] Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
Zhao, Yige
Wang, Yuzhen
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[27] Existence and uniqueness for nonlinear fractional differential systems
Zhao, Yige
Sun, Yibing
2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 567 - 570
[28] Existence of solution to a class of boundary value problem for impulsive fractional differential equations
Zhou, Wen-Xue
Liu, Xu
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[29] An analytical solution with existence and uniqueness conditions for fractional integro-differential equations
Verma, Pratibha
Kumar, Manoj
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, 2020, 11 (05)
[30] Existence and uniqueness of solution for fractional differential equations with integral boundary conditions and the Adomian decomposition method
Wanassi, Om Kalthoum
Bourguiba, Rim
Torres, Delfim F. M.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (05) : 3582 - 3595

← 1 2 3 4 5 →