Implicit Fractional Differential Equation with Nonlocal Fractional Integral Conditions

Thanatporn Bantaojai, Piyachat Borisut

Abstract

In this paper, we study and investigate the following implicit Caputo fractional derivative and nonlocal fractional integral conditions. By using Krasnosel’skii fixed point theorem and Boyd-Wong non-linear contraction, the existence and uniqueness of this problem are obtained.