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
DOI: 10.12677/PM.2023.134090, PDF,    科研立项经费支持
作者: 张 永, 胡芳芳, 辛 珍*：伊犁师范大学数学与统计学院，新疆 伊宁 ；伊犁师范大学应用数学研究所，新疆 伊宁
关键词: 分数阶发展方程；非紧性测度；积分边界条件；增算子；存在性；Fractional Evolution Equations； Measure of Noncompactness； Integral Boundary Condition； Increasing Operators； Existence
摘要: 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。
Abstract: 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.
文章引用：张永, 胡芳芳, 辛珍. 带有积分边界条件的分数阶发展方程mild解的存在性[J]. 理论数学, 2023, 13(4): 854-861. https://doi.org/10.12677/PM.2023.134090

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