分数阶耦合系统循环周期边值问题解的存在性

Existence results for a coupled system of fractional differential equations with cyclic periodic boundary conditions

研究一类新的分数阶耦合系统共振边值问题,考虑循环周期边值条件情形。此时不仅方程是耦合的,边值条件也相互依赖。利用Mawhin连续性定理,得到解的存在性准则,并举例说明主要结论。

A new class of coupled fractional systems with resonance boundary value problems is studied,considering the case of cyclic periodic boundary conditions.In this case,not only are the equations coupled,but the boundary conditions are also interdependent.By using Mawhin's continuation theorem,the existence criteria for solutions are obtained and the main results are illustrated by an example.