| 分数阶微分包含反周期边值问题解的存在性 |
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| 引用本文： | 齐悦.分数阶微分包含反周期边值问题解的存在性[J].淮阴师范学院学报(自然科学版),2014(2):95-99. |
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| 作者姓名： | 齐悦 |
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| 作者单位： | 淮安市高级职业技术学校,江苏淮安223300 |
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| 摘 要： | 利用不动点定理,研究了带有反周期边值分数阶微分包含问题{cDαy(t)∈F(t,y(t)),t∈0,T],T0,2α≤3,y(0)=-y(T),cDpy(0)=-cDpy(T),cDqy(0)=-cDqy(T),解的存在性,所得结果将已有的单值结果推广到多值情形.
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| 关 键 词： | 分数阶微分包含 解的存在性 反周期边值条件 不动点定理 |
Existence of Solutions for Fractional-order Differential Inclusion with Anti-periodic Boundary Value Conditions |
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| QI-Yue.Existence of Solutions for Fractional-order Differential Inclusion with Anti-periodic Boundary Value Conditions[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2014(2):95-99. |
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| Authors: | QI-Yue |
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| Institution: | QI-Yue ( Department of Information Engineering, Huaian Senior Vocational and Technical School, Huaian Jiangsu 223300, China) |
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| Abstract: | In this paper , we investigate the following fractional order differential inclusion with anti-periodic boundary value problems ^cD^αy（t）∈F（t,y（t））,t∈0,T],T〉0,2〈α≤3, y（0）=-y（T）, ^cD^py（0）=-^cD^py（T）,^cD^qy（0）=-^cD^qy（T）, new criteria are established based on fixed-point theorem .Our results extend some known single value problem to multi-value conditions . |
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| Keywords: | fractional differential inclusions existence of solutions integral boundary value conditions fixed-pointtheorem |
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