Solutions to Fractional Differential Equations with Nonlocal Initial Condition in Banach Spaces

被引：0

作者：

Zhi-Wei Lv

Jin Liang

Ti-Jun Xiao

机构：

[1] University of Science and Technology of China,Department of Mathematics

[2] Shanghai Jiao Tong University,Department of Mathematics

[3] Fudan University,Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences

来源：

Advances in Difference Equations | / 2010卷

关键词：

Differential Equation; Banach Space; Significant Role; Partial Differential Equation; Lower Limit;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.

引用

共 50 条

[21] Weak solutions for hyperbolic partial fractional differential equations in Banach spaces
Benchohra M.
Mostefai F.-Z.
Nieto J.J.
Afrika Matematika, 2014, 25 (3) : 605 - 615
[22] WEAK SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ON REFLEXIVE BANACH SPACES
Benchohra, Mouffak
Graef, John R.
Mostefai, Fatima-Zohra
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (54) : 1 - 10
[23] Periodic solutions of fractional degenerate differential equations with delay in Banach spaces
Shangquan Bu
Gang Cai
Israel Journal of Mathematics, 2019, 232 : 695 - 717
[24] (?,?)-BVP Solutions of Impulsive Differential Equations of Fractional Order on Banach Spaces
Feckan, Michal
Kostic, Marko
Velinov, Daniel
MATHEMATICS, 2023, 11 (14)
[25] Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order
Lv, Zhi-Wei
Liang, Jin
Xiao, Ti-Jun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1303 - 1311
[26] Periodic solutions of fractional degenerate differential equations with delay in Banach spaces
Bu, Shangquan
Cai, Gang
ISRAEL JOURNAL OF MATHEMATICS, 2019, 232 (02) : 695 - 717
[27] EXISTENCE OF MILD SOLUTIONS FOR NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Zhu, Tao
Song, Chao
Li, Gang
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2012, 10 (01): : 57 - 67
[28] On solutions of differential equations in Banach spaces
Cichon, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 60 (04) : 651 - 667
[29] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NONLINEAR MIXED INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION IN BANACH SPACES
Dhakne, Machindra B.
Tidke, Haribhau L.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[30] Existence of solutions of nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces
Balachandran, K
Uchiyama, K
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2000, 110 (02): : 225 - 232

← 1 2 3 4 5 →