Multiple positive solutions to singular positone and semipositone m-point boundary value problems of nonlinear fractional differential equations

Abstract In this paper, we consider the properties of Green’s function for the nonlinear fractional differential equation boundary value problem D0+αu(t)+f(t,u(t))=0,0<t<1,u(0)=0,u(1)=∑i=1m−2βiu(ηi), $$\begin{aligned} &\mathbf{D}_{0+}^{\alpha}u(t)+f\bigl(t,u(t)\bigr)=0,\quad 0< t< 1,...

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Bibliographic Details
Main Authors: Xiaojie Xu, Huina Zhang
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-0944-8