A Lyapunov-type inequality for a fractional q-difference boundary value problem
A Lyapunov-type inequality for a fractional q-difference boundary value problem
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DOI：
10.22436/jnsa.009.05.03
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发表时间：
2016-05
期刊：
影响因子：
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通讯作者：
M. Jleli;B. Samet
中科院分区：
文献类型：
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作者：
M. Jleli;B. Samet
建立了一类分数阶q-差分方程在Dirichlet型边界条件下的Lyapunov型不等式.所得到的不等式推广了文献中已有的几个结果，包括标准的李雅普诺夫不等式。我们使用该结果来提供一个区间，其中某个Mittag-Leffler函数没有真实的零点。我们还提出了另一个应用所得到的不等式，其中我们证明了存在性蕴含着某种类型的分数阶q-差分边值问题的唯一性。©2016版权所有。
In this paper, we establish a Lyapunov-type inequality for a fractional q-difference equation subject to Dirichlet-type boundary conditions. The obtained inequality generalizes several existing results from the literature including the standard Lyapunov inequality. We use that result to provide an interval, where a certain Mittag-Leffler function has no real zeros. We present also another application of the obtained inequality, where we prove that existence implies uniqueness for a certain class of fractional q-difference boundary value problems. c ©2016 All rights reserved.