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| 一类Caputo型分数阶微分包含的非局部问题 | |
| 引用本文： | 吴睿,高珊珊,程毅.一类Caputo型分数阶微分包含的非局部问题[J].吉林大学学报(理学版),2021,59(1):55-59. |
| 作者姓名： | 吴睿 高珊珊 程毅 |
| 作者单位： | 1. 长春财经学院 数学教研部, 长春 130122; 2. 辽宁理工学院 信息工程学院, 辽宁 锦州 121000; 3. 渤海大学 数学科学学院, 辽宁 锦州 121000 |
| 基金项目： | 吉林省自然科学基金;吉林省教育厅"十三五"科学技术规划项目;国家自然科学基金 |
| 摘 要： | 考虑一类具有非线性增长条件的分数阶微分包含的非局部问题,先利用Leray-Schauder不动点定理验证分数阶非线性微分方程解的存在性与唯一性,再利用集值不动点理论证明一类分数阶微分包含问题解的存在性. |
| 关 键 词： | 分数阶微积分 微分包含 非局部问题 不动点定理 |
| 收稿时间： | 2020-05-27 |
Nonlocal Problems of a Class of Caputo-Type Fractional Differential Inclusions |
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| WU Rui,GAO Shanshan,CHENG Yi.Nonlocal Problems of a Class of Caputo-Type Fractional Differential Inclusions[J].Journal of Jilin University: Sci Ed,2021,59(1):55-59. | |
| Authors: | WU Rui GAO Shanshan CHENG Yi |
| Institution: | 1. Department of Mathematics, Changchun University of Finance and Economics, Changchun 130122, China; 2. Department of Information Engineering, Liaoning Institute of Science and Engineering, Jinzhou 121000, Liaoning Province, China; 3. College of Mathematical Sciences, Bohai University, Jinzhou 121000, Liaoning Province, China |
| Abstract: | We considered a nonlocal problems of a class of fractional differential inclusions with nonlinear growth conditions. Applying to the Leray-Schauder fixed point theorem, we first verified the existence and uniqueness of solutions for fractional nonlinear differential equations, and then proved the existence of solutions for a class of fractional differential inclusions by using set-valued fixed point theorem. |
| Keywords: | fractional calculus differential inclusion nonlocal problem fixed point theorem |
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