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关于时标上的适应Nabla分数阶导数
引用本文:赵大方,游雪肖,胡长松.关于时标上的适应Nabla分数阶导数[J].数学杂志,2016,36(6):1142-1148.
作者姓名:赵大方  游雪肖  胡长松
作者单位:湖北师范大学数学与统计学院, 湖北 黄石 435002,湖北师范大学数学与统计学院, 湖北 黄石 435002,湖北师范大学数学与统计学院, 湖北 黄石 435002
基金项目:Supported by Educational Commission of Hubei Province of China (Q20152505).
摘    要:本文研究了时标上的适应Nabla分数阶导数的问题.利用时标理论,获得了关于适应Nabla分数阶导数的若干重要性质.这些结果推广并改进了文献9,10]中的有关结论以及一般Nabla导数的性质.

关 键 词:适应Nabla分数阶导数  Nabla导数  时标
收稿时间:2016/1/22 0:00:00
修稿时间:2016/4/22 0:00:00

ON CONFORMABLE NABLA FRACTIONAL DERIVATIVE ON TIME SCALES
ZHAO Da-fang,YOU Xue-xiao and HU Chang-song.ON CONFORMABLE NABLA FRACTIONAL DERIVATIVE ON TIME SCALES[J].Journal of Mathematics,2016,36(6):1142-1148.
Authors:ZHAO Da-fang  YOU Xue-xiao and HU Chang-song
Institution:School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China,School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China and School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Abstract:In this paper, we introduce and investigate the concept of conformable nabla fractional derivative on time scales. By using the theory of time scales, we obtain some basic properties of the conformable nabla fractional derivative, which extend and improve both the results in9, 10] and the usual nabla derivative.
Keywords:conformable nabla fractional derivative|nabla derivative|time scales
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