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

This article concerns the existence of solutions to the nonlinear fractional 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], cr u(0) = u(T) = 0,...

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Bibliographic Details
Main Author: Chuanzhi Bai
Format: Article
Language:English
Published: Texas State University 2012-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/176/abstr.html