论文标题
自然新兴的双变量Mittag-Leffler功能和相关的分数计算机
A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators
论文作者
论文摘要
我们定义了经典的Mittag-Leffler函数的模拟，该函数应用于两个变量，并建立了其基本属性。使用与分数幂的相应的单变量函数，我们定义了具有许多有趣属性的相关分数积分运算符。这些定义的动机是双重的：首先，它们与涉及两个独立的分数阶的一些基本分数差分方程的联系，其次，它们自然而然地从某些生物工程中的应用中出现。
We define an analogue of the classical Mittag-Leffler function which is applied to two variables, and establish its basic properties. Using a corresponding single-variable function with fractional powers, we define an associated fractional integral operator which has many interesting properties. The motivation for these definitions is twofold: firstly their link with some fundamental fractional differential equations involving two independent fractional orders, and secondly the fact that they emerge naturally from certain applications in bioengineering.
