Abstract
Here we present material illuminating the role of the Mittag-Leffler function and its generalizations in the study of deterministic models. It has already been mentioned that the Mittag-Leffler function is closely related to the Fractional Calculus (being called ‘The Queen Function of the Fractional Calculus’). This is why we focus our attention here to fractional (deterministic) models. We start with a technical Sect. 8.1 in which the fractional differential equations, related to the fractional relaxation and oscillation phenomena, are discussed in full detail.
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