Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

Document Type : Research Paper

Author
Departamento de Matematica Universidad de Atacama
Abstract
This paper presents conditions for the existence and
multiplicity of positive solutions for a boundary value problem of
a nonlinear fractional differential equation. We show that it has at
least one or two positive solutions. The main tool is Krasnosel'skii
fixed point theorem on cone and fixed point index theory.
Keywords
Subjects

  • Receive Date 23 November 2011
  • Revise Date 27 March 2012
  • Accept Date 12 April 2012