Abstract

In this paper we study a new kind of boundary value problems of multi-term fractional differential inclusions and three-point nonlocal boundary conditions. The existence of solutions is established for convex and non-convex multivalued maps by using standard theorems from the fixed point theory. We also construct some examples for demonstrating the application of the main results.

Keywords: Caputo fractional derivatives; existence of solutions; fixed point theorems.

MSC: 34A08, 34B10, 34A60

Pages:  66$-$80     

Volume  72 ,  Issue  1 ,  2020