Multi-term fractional differential equations with nonlocal boundary conditions

Abstract

We introduce and study a new kind of nonlocal boundary value problems of multi-term fractional differential equations. The existence and uniqueness results for the given problem are obtained by applying standard fixed point theorems. We also construct some examples for demonstrating the application of the main results.

Keywords

• caputo fractional derivative
• multi-term fractional derivatives
• existence
• uniqueness
• fixed point theorems
• 34a08
• 34b10
• 34b15