一类Riemann-Liouville分数阶发展包含mild解的存在性

Existence of mild solutions for a class of Riemann-Liouville fractional evolution inclusions

用多值映射的不动点定理和算子半群理论讨论了非紧半群情形下一类Riemann-Liouville分数阶半线性发展包含非局部问题mild解的存在性,并给出了抽象结果的应用举例。

By utilizing the multivalued fixed point theorem and the theory of operator semigroup, the existence of mild solutions for the nonlocal problem of a class of Riemann-Liouville fractional semilinear evolution inclusions with noncompact semigroups is investigated. An example is given to illustrate the application of abstract conclusions.