Solvability of triple-point integral boundary value problems for a class of impulsive fractional differential equations

摘要

This paper is concerned with a class of triple-point integral boundary value problems for impulsive fractional differential equations involving the Riemann-Liouville fractional derivative of order α ( 2 α ≤ 3 $2lphaleq3$ ). Some sufficient criteria for the existence of solutions are obtained by applying the contraction mapping principle and the fixed point theorem. As an application, one example is given to demonstrate the validity of our main results.