A proposed fractional-order Gompertz model and its application to tumour growth data-Reference-Cited by-同舟云学术

A proposed fractional-order Gompertz model and its application to tumour growth data

Published:2014-01-26 Issue:2 Volume:32 Page:187-209
ISSN:1477-8599
Container-title:Mathematical Medicine and Biology: A Journal of the IMA
language:en
Short-container-title:

Author:

Bolton Larisse¹,Cloot Alain H J J¹,Schoombie Schalk W¹,Slabbert Jacobus P²

Affiliation:

1. Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa

2. NRF iThemba LABS, Somerset West, South Africa

Funder

National Research Foundation

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Pharmacology,General Environmental Science,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,Modelling and Simulation,General Medicine,General Neuroscience

Link

http://academic.oup.com/imammb/article-pdf/32/2/187/24595999/dqt024.pdf

Reference42 articles.

1. Hematologic disorders and bone marrow-peripheral blood dynamics;Afenya;Mathematical modelling of Natural Phenomena,2010

2. A new derivative with normal distribution kernel: Theory, methods and applications;Atangana,2017

3. Analytical solutions of the space-time fractional derivative of advec- tion dispersion equation. Math. Problems Eng. 2013, Article ID 853127, 9 pages. [Online];Atangana,2013

4. A note on fractional order derivatives and table of fractional derivatives of some special functions. Abstract Appl. Anal., 2013, Article ID 279681, 8 pages. [Online];Atangana,2013

Cited by 51 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical investigation of a fractional order Wolbachia invasive model using stochastic Bayesian neural network;Alexandria Engineering Journal;2024-04

2. Stability and bifurcation analysis of fractional‐order tumor–macrophages interaction model with multi‐delays;Mathematical Methods in the Applied Sciences;2024-01-31

3. Fractional approach to evolution of the magnetic field lines near the magnetic null points;Physica Scripta;2024-01-19

4. On the well posedness of a mathematical model for a singular nonlinear fractional pseudo-hyperbolic system with nonlocal boundary conditions and frictional damping terms;AIMS Mathematics;2024

5. A predator-prey fractional model with disease in the prey species;Mathematical Biosciences and Engineering;2024