Existence of solution for fractional Langevin equation: variational approach

被引：0
作者：
Torres, Cesar [1 ]
机构：
[1] Univ Nacl Trujillo, Dept Matemat, Trujillo, Peru
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 54期
关键词：
Riemann-Liouville fractional operator; fractional Langevin equation; critical point theory; variational method; BOUNDARY-VALUE-PROBLEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Dirichlet problem for the fractional Langevin equation with two fractional order derivatives -D-0(t)alpha((0)D(t)(alpha)u(t)) = f(t, u(t), (0)D(t)(alpha)u(t)), t is an element of [0, 1], u(0) = u (1) = 0. The existence of a nontrivial solution is stated through an iterative method based on mountain pass techniques.
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页码：1 / 14
页数：14
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