Fractional Electrical Impedances in Botanical Elements

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A Survey of Fractional-Order Circuit Models for Biology and Biomedicine (2013, methodology): “The single dispersion Cole model and its parameters have been investigated for: • characterizing the tissues of different fruits and vegetables including apples, apricots [35], plumbs [36], potatoes, kiwis [35], [40], garlic, tomatoes, and pears; with potential to measure the maturity or give an est”
Fractional order models of leaves (2014, background): “The electrical impedance of fruits and vegetables is studied by Jesus et al. (2008) from the perspective of Fractional Calculus (FC).”
Development of fractional order capacitors based on electrolyte processes (2009, methodology): “with τ = δ2/D, where R is the diffusion resistance, τ is the diffusion time constant, δ is the diffusion layer thickness, and D is the diffusion coefficient [16, 17].”
Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess (2017, methodology): “7) satisfies: (1) HA(t, s) > 0 for all (t, s) ∈ (0, 1)× (0, 1), (2) There exist two constants cA, dA such that cAt α−1GA(s) ≤ HA(t, s) ≤ dAtα−1 ≤ dA, t, s ∈ [0, 1].”