A Lyapunov-type inequality for a fractional boundary value problem

A Lyapunov-type inequality for a fractional boundary value problem
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DOI:
10.2478/s13540-013-0060-5
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发表时间:
2013-12-01
影响因子:
3
通讯作者:
Ferreira, Rui A. C.
Ferreira, Rui A. C.
中科院分区:
数学3区
文献类型:
--
作者:
Ferreira, Rui A. C.

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本文对一类分数阶微分方程在Dirichlet型边值条件下得到了一个Lyapunov型不等式。此外,我们还利用这个不等式导出了某个Mittag-Leffler函数不存在真实的零点的一个判别准则.
In this work we obtain a Lyapunov-type inequality for a fractional differential equation subject to Dirichlet-type boundary conditions. Moreover, we apply this inequality to deduce a criteria for the nonexistence of real zeros of a certain Mittag-Leffler function.