Sobolev型分数阶随机发展方程非局部问题 Mild解的存在性

doi:10.12677/PM.2022.121018

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Sobolev型分数阶随机发展方程非局部问题 Mild解的存在性
Existence of Mild Solutions for Nonlocal Problems of Fractional Stochastic Evolution Equations of Sobolev Type

DOI: 10.12677/PM.2022.121018, PDF, HTML, 下载: 254 浏览: 401 国家自然科学基金支持
作者: 白玉洁：西北师范大学数学与统计学院，甘肃兰州
关键词: Riemann-Liouville分数阶导数；Sobolev 型分数阶随机发展系统；不动点定理；非紧性测度；Riemann-Liouville Fractional Derivative； Stochastic Fractional Evolution Systems of Sobolev Type； Fixed Point Theorem； The Measure of Noncompactness

摘要: 本文利用不动点定理和预解算子理论讨论了 Hilbert 空间中 Sobolev 型α∈(1,2)阶 Riemann-Liouville 分数阶随机发展方程非局部问题 mild 解的存在性。

Abstract: In this paper, by utilizing the resolvent operator theory and the fixed point theorem, the existence of mild solutions for nonlocal problems of Riemann-Liouville fractional stochastic evolution equations of Sobolev-type with order α∈(1,2) is discussed in Hilbert spaces.

文章引用：白玉洁. Sobolev型分数阶随机发展方程非局部问题 Mild解的存在性[J]. 理论数学, 2022, 12(1): 132-147. https://doi.org/10.12677/PM.2022.121018

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