On conformable fractional calculus
On conformable fractional calculus
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DOI：
10.1016/j.cam.2014.10.016
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发表时间：
2015-05-01
影响因子：
2.4
通讯作者：
Abdeljawad, Thabet
中科院分区：
文献类型：
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作者：
Abdeljawad, Thabet
最近，作者Khalil等人（2014）引入了一种新的简单的良好行为的分数导数定义，称为一致分数导数。在本文中，我们将继续发展那里的定义，并在这个新的简单有趣的分数微积分中设定基本概念。提出并讨论了链式法则、指数函数、Gronwall不等式、分部积分、Taylor幂级数展开、拉普拉斯变换和线性微分系统的分数阶形式。(C)2014 Elsevier By. All rights reserved.
Recently, the authors Khalil et al. (2014) introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative. In this article we proceed on to develop the definitions there and set the basic concepts in this new simple interesting fractional calculus. The fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed. (C) 2014 Elsevier By. All rights reserved.