Existence of solutions to boundary value problem for impulsive fractional differential equations

被引：95
|
作者：
Bonanno, Gabriele [1 ]
Rodriguez-Lopez, Rosana [2 ]
Tersian, Stepan [3 ]
机构：
[1] Univ Messina, Dept Civil Informat Technol Construct Environm En, I-98166 Messina, Italy
[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
[3] Univ Ruse, Dept Math, Ruse 7017, Bulgaria
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2014年 / 17卷 / 03期
关键词：
fractional differential equations; impulsive conditions; weak solution; classical solution; minimization; three critical points theorem;
D O I：
10.2478/s13540-014-0196-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fractional order differential equations. The notions of classical and weak solutions are introduced. Then, existence results of at least one and three solutions are proved.
引用
收藏
页码：717 / 744
页数：28
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