带有积分边界条件的分数阶发展方程mild解的存在性

Existence of Mild Solutions for Fractional Evolution Equations with Integral Boundary Conditions

本文利用增算子不动点定理证明了有序Banach空间中带有积分边界条件的分数阶发展方程mild解存在性,并且给出了计算该解的迭代序列,最后举例阐述了所得结论。

In this paper, by using the fixed point theorem of increasing operators, the existence of mild solu-tions for fractional evolution equations with integral boundary conditions in ordered Banach spaces is proved and gives iterative sequence. Finally, an example is provided to illustrate the applications of the obtained result.