POSITIVE SOLUTIONS FOR NONLINEAR CAPUTO FRACTIONALDIffERENTIAL EQUATIONS WITH INTEGRAL BOUNDARYCONDITIONS AND PARAMETER DEPENDENCE

Abstract

In this paper, we discuss the existence and multiplicity of positive solutions for a class of nonlinear Caputo fractional differential equation with integral boundary conditions and parameter dependence. Our study is based on the well-known Guo-Krasnoselski’i fixed point theorem and the Avery-Peterson fixed point theorem. Some examples are also presented to show the effectiveness of the main results.