Existence of solutions to boundary value problem for impulsive fractional differential equations

Existence of solutions to boundary value problem for impulsive fractional differential equations
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DOI:
10.2478/s13540-014-0196-y
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发表时间:
2014-06
影响因子:
3
通讯作者:
G. Bonanno;R. Rodríguez-López;S. Tersian
G. Bonanno;R. Rodríguez-López;S. Tersian
中科院分区:
数学3区
文献类型:
--
作者:
G. Bonanno;R. Rodríguez-López;S. Tersian

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在本文中,我们研究了分数阶微分方程的一个脉冲边值问题解的存在性和多重性。引入了经典解和弱解的概念。然后,证明了至少存在一个解和三个解的结果。
In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fractional order differential equations. The notions of classical and weak solutions are introduced. Then, existence results of at least one and three solutions are proved.