广义凹算子定理在分数阶脉冲边值问题中的研究

On the theorem for a generalized concave operator in differential equations involving a fractional order and impulsive boundary conditions

运用广义凹算子的不动点定理,研究了一类分数阶脉冲边值问题,得到了存在唯一解的新判据.最后,给出一个例子说明结论的可行性.

By using a fixed point theorem for a generalized concave operator, a new criterion for the existence and uniqueness of solutions involving a fractional order and impulsive boundary conditions is established. Finally, an example is given to illustrate the main results.