A study of fractional-order coupled systems with a new concept of coupled non-separated boundary conditions (Q1678184)

In this paper, based on Banach's contraction principle and Leray-Schauder's alternative, the authors derive existence and uniqueness results for a new coupled system of fractional differential equations supplemented with non-separated boundary conditions. An example is also given to show the effectiveness of the main results. Though this paper relies on conventional methods, the authors consider new boundary value problems.