Existence of solutions for a nonlinear fractional boundary value problem via a local minimum theorem

Electronic Journal of Differential Equations

关键词: Critical points;    fractional differential equations;    boundary-value problem;   

DOI  :  

来源: DOAJ

【 摘 要 】

This article concerns the existence of solutions to the nonlinearfractional boundary-value problem$$displaylines{frac{d}{dt} Big({}_0 D_t^{alpha-1}({}_0^c D_t^{alpha} u(t))-{}_t D_T^{alpha-1}({}_t^c D_T^{alpha} u(t))Big)+lambda f(u(t)) = 0, quadhbox{a.e. } t in [0, T], cru(0) = u(T) = 0,}$$where $alpha in (1/2, 1]$, and $lambda$ is a positive real parameter.The approach is based on a local minimum theorem established by Bonanno.

【 授权许可】

Unknown