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

页码：1016 / 1038

页数：23

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