On the existence of mild solutions for nonconvex fractional semilinear differential inclusions

Cernea A.

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On the existence of mild solutions for nonconvex fractional semilinear differential inclusions

机译：关于非凸分数半线性微分包含的温和解的存在

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摘要

We establish some Filippov type existence theorems for solutions of fractional semilinear differential inclusions involving Caputo's fractional derivative in Banach spaces.

机译：我们建立了Banach空间中涉及Caputo分数阶导数的分数半线性微分包含解的Filippov型存在性定理。

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《Electronic Journal of Qualitative Theory of Differential Equations》 |2012年第64期|共15页
作者
Cernea A.;
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正文语种
中图分类数学;
关键词
fractional derivativefractional semilinear differential inclusiondecomposable set;

机译：分数导数分数半线性微分包含可分解集;

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1. Existence of mild solutions of a semilinear nonconvex differential inclusion with nonlocal conditions [J] . M. Aitalioubrahim Matematicki Vesnik . 2011,第3期

机译：具有非局部条件的半线性非凸微分包含的温和解的存在性
2. Existence of mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach space [J] . Mohammed Nawal, Ghadle Kirtiwant P. Journal of Mathematical and Computational Science . 2018,第6期

机译：Banach空间中非局部脉冲分数半线性微分包含的温和解的存在性
3. Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions [J] . Ravi P Agarwal, Bashir Ahmad, Ahmad Alsaedi, Advances in Difference Equations . 2012,第1期

机译：半线性分数阶微分包含的温和解集的存在性和维数
4. The existence and uniqueness of mild solutions for semilinear impulsive neutral fractional integrodifferential equations with nonlocal conditions in the α -norm [C] . Shuo Zhao, Jun Yang 2011 International Conference on Multimedia Technology . 2011

机译：α范数中具有非局部条件的半线性脉冲中性分数阶积分微分方程的温和解的存在性和唯一性
5. Optimal control of differential inclusions in infinite dimensional spaces and semilinear evolution inclusions. [D] . Wang, Dong. 2005

机译：无限维空间和半线性演化夹杂物的最优控制。
6. Existence of anti-periodic (differentiable) mild solutions to semilinear differential equations with nondense domain [O] . Jinghuai Liu, Litao Zhang -1

机译：具有稠密域的半线性微分方程的反周期（可微）温和解的存在性
7. On the existence of mild solutions for nonconvex fractional semilinear differential inclusions [O] . Cernea A. 2012

机译：关于非凸分数半线性微分包含的温和解的存在

On the existence of mild solutions for nonconvex fractional semilinear differential inclusions

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