Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

Abstract

Abstract In the article, the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are discussed. By applying some fixed point theorems on cone, we gain a unique positive solution and construct two iterative sequences to approximate the solution. Moreover, as applications of our main results, some examples are also presented.

Keywords

• fractional differential equations
• fixed point theorem
• mixed monotone operator
• positive solution