Boundary value problems of fractional differential equations with nonlocal and integral boundary conditions

John Fiifi Essel, Lingling Zhang, Emmanuel Addai

boundary value problems, existence and uniqueness, fixed point theorems, fractional differential equations, nonlocal-integral boundary conditions.

The boundary value problems of fractional differential equations involving Caputo derivatives are examined in this article. The ultimate goal of our study is to institute the existence and uniqueness properties for our boundary problems with nonlocal and integral boundary conditions by applying the Banach and the Schaefer’s theorems of fixed point. We finally discuss two applicable questions to enhance the comprehension of our outcomes and conclude by summarizing our results and giving vital suggestions for further research works in relation to our study.

Received: 29 Jul 2021, Received in revised form: 07 Oct 2021, Accepted: 13 Oct 2021, Available online: 28 Oct 2021

10.22161/ijaers.810.32