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

作者：Alsulami Hamed H; Ntouyas Sotiris K; Agarwal Ravi P; Ahmad Bashir^*; Alsaedi Ahmed

来源：Boundary Value Problems, 2017, 2017(1): 68.

DOI：10.1186/s13661-017-0801-1

• fractional differential systems
• non-separated boundary conditions
• existence
• fixed point

In this paper, we introduce a new concept of coupled non-separated boundary conditions and solve a coupled system of fractional differential equations supplemented with these conditions. The existence results obtained in the given configuration are not only new but also yield some new special results corresponding to particular values of the parameters involved in the problem. For the illustration of the existence and uniqueness result, an example is constructed.

• 出版日期2017-5-12