基于预解算子的非局部分数阶微分包含解的存在性

Existence of solutions to nonlocal fractional differential inclusions via resolvent operators

利用多值分析方法和预解算子理论,研究Banach空间中一类非局部分数阶微分包含的解,在非局部项不具有紧性和Lipschitz连续性的条件下给出存在适度解的充分条件,改进了相关文献的结果。

By using multivalued analysis and resolvent operators,the solutions to nonlocal fractional differential inclusions in Banach spaces are discussed.The sufficient conditions on the existence results of mild solutions when the nonlocal item is not Lipschitz continuous and not compact are given,which improves some related results in this area.