A new look at the fractionalization of the logistic equation

Manuel Ortigueira, Gabriel Bengochea

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The fractional version of the logistic equation will be studied in this paper. Motivated by unsuccessful previous papers, we showed how to obtain the correct solution. The algorithm is very simple. Its numerical implementation will be studied and exemplified using a Padé approximation.

Original languageEnglish
Pages (from-to)554-561
Number of pages8
JournalPhysica A: Statistical Mechanics and its Applications
Volume467
DOIs
Publication statusPublished - 1 Feb 2017

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Logistic Equation
logistics
Fractional
Approximation
approximation

Keywords

  • Fractional calculus
  • Fractional logistic equation
  • Grünwald–Letnikov fractional derivative

Cite this

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title = "A new look at the fractionalization of the logistic equation",
abstract = "The fractional version of the logistic equation will be studied in this paper. Motivated by unsuccessful previous papers, we showed how to obtain the correct solution. The algorithm is very simple. Its numerical implementation will be studied and exemplified using a Pad{\'e} approximation.",
keywords = "Fractional calculus, Fractional logistic equation, Gr{\"u}nwald–Letnikov fractional derivative",
author = "Manuel Ortigueira and Gabriel Bengochea",
note = "The first author was supported by Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013. The second author was supported by CONACYT under the project SEP-CONACYT 220603.",
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A new look at the fractionalization of the logistic equation. / Ortigueira, Manuel; Bengochea, Gabriel.

In: Physica A: Statistical Mechanics and its Applications, Vol. 467, 01.02.2017, p. 554-561.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A new look at the fractionalization of the logistic equation

AU - Ortigueira, Manuel

AU - Bengochea, Gabriel

N1 - The first author was supported by Portuguese National Funds through the FCT Foundation for Science and Technology under the project PEst-UID/EEA/00066/2013. The second author was supported by CONACYT under the project SEP-CONACYT 220603.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - The fractional version of the logistic equation will be studied in this paper. Motivated by unsuccessful previous papers, we showed how to obtain the correct solution. The algorithm is very simple. Its numerical implementation will be studied and exemplified using a Padé approximation.

AB - The fractional version of the logistic equation will be studied in this paper. Motivated by unsuccessful previous papers, we showed how to obtain the correct solution. The algorithm is very simple. Its numerical implementation will be studied and exemplified using a Padé approximation.

KW - Fractional calculus

KW - Fractional logistic equation

KW - Grünwald–Letnikov fractional derivative

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DO - 10.1016/j.physa.2016.10.052

M3 - Article

VL - 467

SP - 554

EP - 561

JO - Physica A-Statistical Mechanics And Its Applications

JF - Physica A-Statistical Mechanics And Its Applications

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