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International Conference on Computer Aided Systems Theory

EUROCAST 2019: Computer Aided Systems Theory – EUROCAST 2019 pp 228–235Cite as

Some Results on a Growth Model Governed by a Fractional Differential Equation

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12013))

Abstract

We define a deterministic growth model which generalizes both the Gompertz and the Korf law in a fractional way. We provide lower bounds for the solution of the corresponding initial value problem and discuss how the introduction of “memory effects” affects the shape of such functions. We also compute maximum and inflection points.

Paper partially supported by MIUR - PRIN 2017, project “Stochastic Models for Complex Systems”. The authors are members of the INdAM Research group GNCS.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Salerno, Fisciano, Italy

    Antonio Di Crescenzo & Alessandra Meoli

Authors
  1. Antonio Di Crescenzo
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  2. Alessandra Meoli
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Corresponding author

Correspondence to Antonio Di Crescenzo .

Editor information

Editors and Affiliations

  1. University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

  3. University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

    Alexis Quesada-Arencibia

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Di Crescenzo, A., Meoli, A. (2020). Some Results on a Growth Model Governed by a Fractional Differential Equation. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2019. EUROCAST 2019. Lecture Notes in Computer Science(), vol 12013. Springer, Cham. https://doi.org/10.1007/978-3-030-45093-9_28

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  • DOI: https://doi.org/10.1007/978-3-030-45093-9_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-45092-2

  • Online ISBN: 978-3-030-45093-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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