On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions

By using the Guo-Krasnoselskii’s fixed point theorem, we investigate the existence of positive solutions for a non-autonomous fractional differential equations with integral boundary conditions of fractional order α ∈ (۲, ۳] in an ordered Banach space. The Fredholm integral equation has an important role in this article. Some examples are presented to illustrate the efficiency of the obtained results.

Keywords:

Caputo fractional derivative , Integral boundary conditions , Fredholm integral equation