A NOTE ON FRACTIONAL-TYPE MODELS OF POPULATION DYNAMICS-Reference-Cited by-同舟云学术

A NOTE ON FRACTIONAL-TYPE MODELS OF POPULATION DYNAMICS

Published:2024-06-12 Issue:3 Volume:29 Page:480-492
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Caratelli Diego¹,Ricci Paolo Emilio²

Affiliation:

1. Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands; The Antenna Company, High Tech Campus 29, 5656 AE Eindhoven, The Netherlands

2. International Telematic University UniNettuno, Corso Vittorio Emanuele II 39, 00186 Rome, Italy

Abstract

The fractional exponential function is considered. General expansions in fractional powers are used to solve fractional population dynamics problems. Laguerretype exponentials are also considered, and an application to Laguerre-type fractional logistic equation is shown.

Publisher

Vilnius Gediminas Technical University

Reference31 articles.

1. R. Almeida, Bastos Nuno R.O. and M.T.T. Monteiro. A fractional Malthusian growth model with variable order using an optimization approach. Statistics, Optimization & Information Computing, 6(1), 2018. https://doi.org/10.19139/soic.v6i1.465

2. L. Beghin and M. Caputo. Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator. Communications in Nonlinear Science and Numerical Simulation, 89:105338, 2020. https://doi.org/10.1016/j.cnsns.2020.105338

3. G. Bretti and P.E. Ricci. Laguerre-type special functions and population dynamics. Applied Mathematics and Computation, 187(1):89-100, 2007. https://doi.org/10.1016/j.amc.2006.08.106

4. D. Caratelli, P. Natalini and P.E. Ricci. Fractional differential equations and expansions in fractional powers. Symmetry, 15:1842, 2023. https://doi.org/110.3390/sym15101842

5. G. Consolini and M. Materassi. A stretched logistic equation for pandemic spreading. Chaos, Solitons & Fractals, 140:110113, 2020. https://doi.org/10.1016/j.chaos.2020.110113