Fractional Approach for Estimating Sap Velocity in Trees
-
Inés Tejado
,
Blas M. Vinagre
Abstract
In the context of fractional calculus (FC), this paper is devoted to model thermal processes in trees based on the measurement of the temperature difference (ΔT) between sensors located above and below a heater inserted in the tree trunk. By evaluating several temperature curves taken from real trees of different species, the current approach shows that the temperature in each probe can be successfully described by the two-parameter Mittag- Leffler function Eα,β. Then, a simple methodology is followed to derive a novel expression of the heat-pulse velocity (v) as a function of ΔT and the parameter α of the mentioned Eα,β function. Experimental results are given to validate the goodness of the current proposal.
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Articles in the same Issue
- Contents
- Fcaa Related News, Events and Books (Fcaa–Volume 18–2–2015)
- New Results from Old Investigation: A Note on Fractional M-Dimensional Differential Operators. The Fractional Laplacian
- Pollutant Reduction of a Turbocharged Diesel Engine Using a Decentralized Mimo Crone Controller
- Experimental Implications of Bochner-Levy-Riesz Diffusion
- Fractional Diffusion on Bounded Domains
- On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
- A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix
- Solving Fractional Delay Differential Equations: A New Approach
- Formal Consistency Versus Actual Convergence Rates of Difference Schemes for Fractional-Derivative Boundary Value Problems
- Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case
- Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus
- Fractional Approach for Estimating Sap Velocity in Trees
- Fractional Calculus: Quo Vadimus? (Where are we Going?)
Articles in the same Issue
- Contents
- Fcaa Related News, Events and Books (Fcaa–Volume 18–2–2015)
- New Results from Old Investigation: A Note on Fractional M-Dimensional Differential Operators. The Fractional Laplacian
- Pollutant Reduction of a Turbocharged Diesel Engine Using a Decentralized Mimo Crone Controller
- Experimental Implications of Bochner-Levy-Riesz Diffusion
- Fractional Diffusion on Bounded Domains
- On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
- A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix
- Solving Fractional Delay Differential Equations: A New Approach
- Formal Consistency Versus Actual Convergence Rates of Difference Schemes for Fractional-Derivative Boundary Value Problems
- Asymptotic Stability Of Dynamic Equations With Two Fractional Terms: Continuous Versus Discrete Case
- Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus
- Fractional Approach for Estimating Sap Velocity in Trees
- Fractional Calculus: Quo Vadimus? (Where are we Going?)
