Richards in [35] proposed a modification of the logistic model to model growth
of biological populations. In this paper, we give a new representation (or characterization)
of the solution to the Richards-type fractional differential equation
??(t) = ?(t) · (1 + a(t)?? (t)) for t ≥ 0, where a ∶ [0, ∞) → R is a continuously
differentiable function on [0, ∞), ? ∈ (0, 1) and ? is a positive real constant. The
obtained representation of the solution can be used effectively for computational
and analytic purposes. This study improves and generalizes the results obtained
on fractional logistic ordinary differential equation.
