General Delayed Perturbation of the Three‐Parameter Mittag‐Leffler Functions
Mustafa Aydin
Source abstract
ABSTRACT In this paper, we define a general delayed perturbation of the three‐parameter Mittag‐Leffler type matrix function, which can be seen as a generalization of both the delayed perturbation of the two‐parameter Mittag‐Leffler type function and the delayed perturbation of the three‐parameter Mittag‐Leffler type function. We examine a couple of its properties in addition to identifying some of its relations with the existing Mittag‐Leffler‐type functions in the literature. We present an explicit formula by constructing on the general delayed perturbation of the three‐parameter Mittag‐Leffler type function as a solution to a linear fractional differential delayed equation with two distinct approaches.
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