Multiple solutions to boundary value problem for impulsive fractional differential equations

被引：68
作者：
Rodriguez-Lopez, Rosana [1 ]
Tersian, Stepan [2 ]
机构：
[1] Univ Santiago de Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela, Spain
[2] Univ Ruse, Dept Math, Ruse 7017, Bulgaria
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2014年 / 17卷 / 04期
关键词：
fractional differential equations; impulsive conditions; weak solution; classical solution; three critical points theorem; EXISTENCE;
D O I：
10.2478/s13540-014-0212-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the multiplicity of solutions for fractional differential equations subject to boundary value conditions and impulses. After introducing the notions of classical and weak solutions, we prove the existence of at least three solutions to the impulsive problem considered.
引用
收藏
页码：1016 / 1038
页数：23
相关论文
共 50 条
[21]   Solutions for Impulsive Fractional Differential Equations with Integral Boundary Conditions [J].
Jiang, Weihua ;
Yang, Junxia .
2012 4TH INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY (ESIAT 2012), 2013, 14 :602-608
[22]   Positive solutions for boundary value problem of nonlinear fractional functional differential equations [J].
Li, Xiaoyan ;
Liu, Song ;
Jiang, Wei .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (22) :9278-9285
[23]   Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces [J].
Li, Fang ;
Wang, Huiwen .
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[24]   Positive solutions for integral boundary value problem of two-term fractional differential equations [J].
Xu, Mengrui ;
Han, Zhenlai .
BOUNDARY VALUE PROBLEMS, 2018,
[25]   On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations [J].
Ali, Sajjad ;
Shah, Kamal ;
Jarad, Fahd .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (03) :969-981
[26]   INTEGRAL BOUNDARY-VALUE PROBLEM FOR IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY [J].
Chauhan, Archana ;
Dabas, Jaydev ;
Kumar, Mukesh .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[27]   Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order [J].
Wang, Guotao ;
Ahmad, Bashir ;
Zhang, Lihong .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (03) :792-804
[28]   On Impulsive Boundary Value Problems of Fractional Differential Equations with Irregular Boundary Conditions [J].
Wang, Guotao ;
Ahmad, Bashir ;
Zhang, Lihong .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[29]   Boundary Value Problem for Impulsive Delay Fractional Differential Equations with Several Generalized Proportional Caputo Fractional Derivatives [J].
Agarwal, Ravi P. ;
Hristova, Snezhana .
FRACTAL AND FRACTIONAL, 2023, 7 (05)
[30]   Some Results on Fractional Boundary Value Problem for Caputo-Hadamard Fractional Impulsive Integro Differential Equations [J].
Alruwaily, Ymnah ;
Venkatachalam, Kuppusamy ;
El-hady, El-sayed .
FRACTAL AND FRACTIONAL, 2023, 7 (12)
12345