Foundations of L-fractional dynamical systems

Develop a theory of L-fractional dynamical systems in which the Mittag-Leffler-type function Ea plays the role of the exponential in linearization, including analysis of monotonicity, asymptotics, and applied models such as L-fractional SIR epidemiological dynamics.

Background

Given Ea’s role as the fractional exponential for L-fractional linear systems, a systematic dynamical systems theory could parallel classical ODE frameworks and enable analysis of stability and long-time behavior.