On Riemann and Caputo fractional differences
On Riemann and Caputo fractional differences
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DOI：
10.1016/j.camwa.2011.03.036
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发表时间：
2011-08-01
影响因子：
2.9
通讯作者：
Abdeljawad, Thabet
中科院分区：
文献类型：
--
作者：
Abdeljawad, Thabet
本文定义了左右Caputo分数次和与差，研究了它们的一些性质，并将它们与米勒K. S.还有罗斯B ANOW F.M.和埃默里·P·W阿卜杜勒贾瓦德和Baleanu D.还有其他一些人此外，Q-算子的离散版本被用来关联左右Caputo分数差分。求解了Caputo分数阶差分方程。该解决方案提出了Mittag-Leffler函数的离散版本。(C)2011爱思唯尔有限公司保留所有权利。
In this paper, we define left and right Caputo fractional sums and differences, study some of their properties and then relate them to Riemann-Liouville ones studied before by Miller K. S. and Ross B., Atici F.M. and Eloe P. W., Abdeljawad T. and Baleanu D., and a few others. Also, the discrete version of the Q-operator is used to relate the left and right Caputo fractional differences. A Caputo fractional difference equation is solved. The solution proposes discrete versions of Mittag-Leffler functions. (C) 2011 Elsevier Ltd. All rights reserved.