Multi-term fractional-order boundary-value problems with nonlocal integral boundary conditions

Abstract

In this article, we introduce a class of multi-term fractional-order boundary-value problems involving nonlocal integral boundary conditions. Existence results for the given problem are obtained by means of standard tools of fixed point theory. The results are illustrated with the aid of examples and make a useful contribution to the existing literature on the topic.

Keywords

• Caputo fractional derivative
• integral boundary condition
• multi-term fractional differential equations
• existence
• fixed point