A note on fractional-type models of population dynamics

Abstract

The fractional exponential function is considered. General expansions in fractional powers are used to solve fractional population dynamics problems. Laguerretype exponentials are also considered, and an application to Laguerre-type fractional logistic equation is shown.

Keywords

• fractional exponential function
• Mittag-Leffler functions and generalizations
• fractional population dynamic models
• Laguerre-type exponentials
• fractional Laguerre-type models