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Pseudo S-Asymptotically(ω,c)-Periodic Solutions to Fractional Differential Equations of Sobolev Type
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作者 MAO Hang-ning CHANG Yong-kui 《Chinese Quarterly Journal of Mathematics》 2024年第3期295-306,共12页
In this paper,we firstly recall some basic results on pseudo S-asymptotically(ω,c)-periodic functions and Sobolev type fractional differential equation.We secondly investigate some existence of pseudo S-asymptotical... In this paper,we firstly recall some basic results on pseudo S-asymptotically(ω,c)-periodic functions and Sobolev type fractional differential equation.We secondly investigate some existence of pseudo S-asymptotically(ω,c)-periodic solutions for a semilinear fractional differential equations of Sobolev type.We finally present a simple example. 展开更多
关键词 Pseudo s-asymptotically(ω c)-periodic functions Evolution equations Sobolev type Fractional differential equations Existence and uniqueness
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分数阶时滞Cohen-Grossberg型BAM神经网络S-渐近ω-周期解 被引量:1
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作者 蒋望东 章月红 刘伟 《高校应用数学学报(A辑)》 北大核心 2020年第4期455-469,共15页
主要研究分数阶时滞Cohen-Grossberg型BAM神经网络的有界性和周期性问题.利用分数阶微积分性质,借助于微分中值定理和Ascoli-Arzela定理,给出了判定系统解的有界性,S-渐近ω-周期和全局渐近ω-周期解的充分条件.最后通过数值模拟例子验... 主要研究分数阶时滞Cohen-Grossberg型BAM神经网络的有界性和周期性问题.利用分数阶微积分性质,借助于微分中值定理和Ascoli-Arzela定理,给出了判定系统解的有界性,S-渐近ω-周期和全局渐近ω-周期解的充分条件.最后通过数值模拟例子验证所得到理论结果的有效性. 展开更多
关键词 分数阶 Cohen-Grossberg型BAM神经网络 有界性 S-渐近ω-周期 全局渐近ω-周期解
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Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations
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作者 Min Yang Qiru Wang 《Science China Mathematics》 SCIE CSCD 2019年第9期1705-1718,共14页
In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the ap... In this paper, we study the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of class r for fractional integro-differential neutral equations. An example is presented to illustrate the application of the abstract results. 展开更多
关键词 FRACTIONAL integro-differential neutral equations asymptotic PERIODICITY MILD SOLUTIONS s-asymptotically ω-periodic SOLUTIONS
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