Existence of solutions for fractional-order differential inclusion with integral boundary value problems(带有积分边值条件的分数阶微分包含解的存在性)
分数阶微分方程被广泛用于解决众多领域的工程问题,如新材料科学、流体力学、电子电路等.此外,在生物学、经济学、最优控制等学科通过建立微分包含模型,对一些实际问题进行理论分析和研究,近年来,有关带有边值条件的分数阶微分方程和分数阶微分包含的研究受到了广泛关注.对基于CABADA和WANG的一类分数阶微分方程正解的存在性进行了研究,将其单值结果推广到多值情形.利用多值映射的不动点定理,研究了如下带有积分边值条件的分数阶微分包含问题:cD0+αy(t) ∈ F(t,y(t)), t ∈ (0,1),α ∈ (2,3),y(0) = y"(0) =0, , 得到了包含非线性项是凸和非凸2种情形...
Main Author: | YANGDandan(杨丹丹) |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2015-11-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2015.06.009 |
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