Existence of a Positive Solution for a Boundary Value Problem of some Nonlinear Fractional Differential Equation

In this paper we will study the existence, uniqueness and positivity of solution of a boundary value problem for nonlinear fractional differential equation, by using Leray-Schauder nonlinear alternative, Banach contraction and Guo-Krasnosel'skii fixed point theorems.

Keywords:

Fractional differential equations , Fixed point theorem , Guo-Krasnosel'skii theorem , Leray-Schauder nonlinear alternative , Banach contraction theorem , Existence , uniqueness , positive solution