Fractional q-calculus on a time scale
Fractional q-calculus on a time scale
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DOI：
10.2991/jnmp.2007.14.3.4
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发表时间：
2007-10-01
影响因子：
0.7
通讯作者：
Eloe, Paul W.
中科院分区：
文献类型：
--
作者：
Atici, Ferhan M.;Eloe, Paul W.
本文对分数次Q-演算的研究是将文献中的分数次Q-演算与时间尺度T-t={t：t=t(0)q(N)，n为非负整数}布尔或{0}上的分数次Q-演算联系起来的桥梁，其中t(0)是R与0<；q<；1的一个元素。我们将发展分数Q-演算的一些性质，我们将发展Q-拉普拉斯变换的一些性质，然后我们将利用Q-拉普拉斯变换来求解分数Q-差分方程。
The study of fractional q-calculus in this paper serves as a bridge between the fractional q-calculus in the literature and the fractional q-calculus on a time scale T-t0 = {t : t = t(0)q(n), n a nonnegative integer} boolean OR {0}, where t(0) is an element of R and 0 < q < 1. By use of time scale calculus notation, we find the proof of many results more straight forward. We shall develop some properties of fractional q-calculus, we shall develop some properties of a q-Laplace transform, and then we shall employ the q-Laplace transform to solve fractional q-difference equations.