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arXiv · 2002.12171

A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators

Arran Fernandez·Cemaliye Kürt·Mehmet Ali Özarslan
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Abstract

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.

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Arran Fernandez, Cemaliye Kürt, Mehmet Ali Özarslan. 2020-02-26. A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators. https://doi.org/10.1007/s40314-020-01224-5

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