A note on the existence of solutions for some boundary value problems of fractional differential inclusions

被引：0

作者：

Aurelian Cernea

机构：

[1] University of Bucharest,Faculty of Mathematics and Informatics

来源：

Fractional Calculus and Applied Analysis | 2012年 / 15卷

关键词：

fractional differential inclusion; Caputo fractional derivative; boundary value problem; mixed and closed boundary conditions; 34A60; 34A08; 35R11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the existence of solutions for fractional differential inclusions of order q ∈ (1, 2] with families of mixed and closed boundary conditions. We establish Filippov type existence results in the case of nonconvex setvalued maps.

引用

页码：183 / 194

页数：11

共 50 条

[21] Existence results of positive solutions for boundary value problems of fractional differential equations
Chai, Guoqing
BOUNDARY VALUE PROBLEMS, 2013,
[22] Existence results of positive solutions for boundary value problems of fractional differential equations
Guoqing Chai
Boundary Value Problems, 2013
[23] Existence of positive solutions for boundary value problems of fractional functional differential equations
Bai, Chuanzhi
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (30) : 1 - 14
[24] Existence and Uniqueness of Positive Solutions for Boundary Value Problems of Fractional Differential Equations
Afshari, Hojjat
Marasi, Hamidreza
Aydi, Hassen
FILOMAT, 2017, 31 (09) : 2675 - 2682
[25] EXISTENCE OF SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSES
Cao Labora, Daniel
Rodriguez-Lopez, Rosana
Belmekki, Mohammed
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[26] Existence of solutions to periodic boundary value problems for fuzzy fractional differential equations
Wang Y.
Sun S.
Han Z.
Sun, Shurong (sshrong@163.com), 1600, Inderscience Publishers, 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland (07): : 195 - 216
[27] Existence and Estimates of Positive Solutions for Some Singular Fractional Boundary Value Problems
Maagli, Habib
Mhadhebi, Noureddine
Zeddini, Noureddine
ABSTRACT AND APPLIED ANALYSIS, 2014,
[28] EXISTENCE RESULTS FOR BOUNDARY-VALUE PROBLEMS WITH NONLINEAR FRACTIONAL DIFFERENTIAL INCLUSIONS AND INTEGRAL CONDITIONS
Hamani, Samira
Benchohra, Mouffak
Graef, John R.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[29] Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
Agarwal, Ravi P.
Ahmad, Bashir
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1200 - 1214
[30] Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions
Ahmad, Bashir
Ntouyas, Sotiris K.
BOUNDARY VALUE PROBLEMS, 2012,

← 1 2 3 4 5 →