Response to "Comments on the concept of existence of solution for impulsive fractional differential equations [Commun Nonlinear Sci Numer Simul 2014;19: 401-3.]"
Response to "Comments on the concept of existence of solution for impulsive fractional differential equations [Commun Nonlinear Sci Numer Simul 2014;19: 401-3.]"
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DOI：
10.1016/j.cnsns.2014.04.014
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
Michal Feckan;Yong Zhou;Jinrong Wang
中科院分区：
文献类型：
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作者：
Michal Feckan;Yong Zhou;Jinrong Wang
本文是对Wang et al.（2014）[1]“Comments on the concept of existence of solution for pulsive fractional differential equations”的回应。最近，Wang等人（2014）[1]对我们的论文（Fečkan等人，2012）[2]，并声称“本文的目的是指出这些反例中的错误，并表明以前结果的可验证性”。为了达到这一目的，他们使用经典的Caputo分数阶导数，并通过保持从不同脉冲点开始下界的脉冲，在每个子区间改变它。然而，我们（Fečkan等人，2012）[2]意味着一个不同的，广义Caputo导数，通过保持从零开始下界的每个脉冲。为了支持我们的观点，我们提出了一些脚本来解决和讨论的意见。
This paper is a response to “Comments on the concept of existence of solution for impulsive fractional differential equations” by Wang et al. (2014) [1]. Recently, Wang et al. (2014) [1] made some comments on our paper (Fečkan et al., 2012) [2] and claimed that “The objective of this note to indicate the mistake in these counterexamples and show the plausibility of the previous results”. To achieve their aim, they used classical Caputo fractional derivative and changed it in each subintervals by keeping the impulses which start the lower bounded from different impulsive points. However, we (Fečkan et al., 2012) [2] mean a different one, generalized Caputo derivative, by keeping in each impulses which start the lower bounded from zero. In support of our view-points, we present some scripts to address and discuss the comments.