关于整合分式演算
On conformable fractional calulus
摘要：
最近，作者Khalil，R.，Al Horani，M.，尤瑟夫A.和Sababheh，M.，在“A new Denition Of Fractional Derivative，J. COMPUT. 264.第二百六十四章pp. 6570，2014年。引入了一个新的简单的良好行为的定义的分数导数称为一致的分数导数。在这篇文章中，我们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置基本概念。提出并讨论了链式法则、指数函数、Gronwall不等式、分部积分法、Taylor幂级数展开式、拉普拉斯变换和线性微分系统的分数阶形式。
英文摘要：
Recently, the authors Khalil, R., Al Horani, M., Yousef. A. and Sababheh, M., in " A new Denition Of Fractional Derivative, J. Comput. Appl. Math. 264. pp. 6570, 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.
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