摘要
应用Krasnoselskii不动点定理研究了分数阶微分方程的多重正解的存在性。D0α+u(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u′(0)=u′(1)=0。其中3<α≤4是任意实数,D0α+是标准的Riemann-Liouville型分数阶微分。
The existence of multiple positive solutions of an fractional differential equation of the form
Dα0+u(t)=p(t)f(t,u(t))-q(t),0t1,u(0)=u(1)=u'(0)=u'(1)=0,
are obtained,where 3α≤4 is a real number,and Dα0+ is the standard Riemann-Liouville differentiation.The proof relies on Krasnoselskii's fixed point theorem.
出处
《科学技术与工程》
2010年第35期8653-8656,8662,共5页
Science Technology and Engineering
关键词
正解
分数阶微分方程
半正边值问题
锥不动点定理
positive solutions fractional differential equation semipositone boundary value problemskrasnoselskii's fixed point theorem