Abstract: By using Banach’s contraction mapping principle and Krasnoselskill’s fixed point theorem, we considered  a class of boundary value problems of Caputo type sequential fractional differential equations  with RiemannLiouville fractional integral  conditions, obtained  sufficient conditions for the existence of  unique solution and at least one solution to the problem, and gave an example  to illustrate the application of the result.

Key words: sequential fractional differential equations, integral condition, boundary value problem, fixed point theorem