Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions

We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0, 1. We use Banach's fixed-point theorem and Holder's inequality to verify the existence and uniqueness of a solution. Moreover, also we prove the existence of solutions by Krasnoselskii's and Schaefer's fixed point theorems.

Automated summary

This paper focuses on singular boundary value problems of fractional differential equations with integral boundary conditions. The existence and uniqueness of a solution are verified using Banach's fixed-point theorem and Holder's inequality. Moreover, the existence of solutions is also proven by Krasnoselskii's and Schaefer's fixed point theorems.