Mathematical Modelling of Natural Phenomena

Open Access

Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system

Ercan Balci, Senol Kartal and Ilhan Ozturk

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020055

Open Access

New aspects of fractional Bloch model associated with composite fractional derivative

Jagdev Singh, Devendra Kumar and Dumitru Baleanu

Published online: 03 March 2021

DOI: https://doi.org/10.1051/mmnp/2020046

Open Access

Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data

Lijuan Nong, An Chen and Jianxiong Cao

Published online: 22 March 2021

DOI: https://doi.org/10.1051/mmnp/2021007

Open Access

On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative

Nguyen Huy Tuan, Nguyen Anh Tuan, Donal O’Regan and Vo Viet Tri

Published online: 23 March 2021

DOI: https://doi.org/10.1051/mmnp/2021010

Open Access

Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations

Nguyen Duc Phuong, Nguyen Anh Tuan, Devendra Kumar and Nguyen Huy Tuan

Published online: 28 April 2021

DOI: https://doi.org/10.1051/mmnp/2021015

Open Access

Travelling waves solution for fractional-order biological population model

Hassan Khan, Rasool Shah, J.F. Gómez-Aguilar, Shoaib, Dumitru Baleanu and Poom Kumam

Published online: 04 June 2021

DOI: https://doi.org/10.1051/mmnp/2021016

Open Access

A generalized kinetic model of the advection-dispersion process in a sorbing medium

Dumitru Vieru, Constantin Fetecau, Najma Ahmed and Nehad Ali Shah

Published online: 15 June 2021

DOI: https://doi.org/10.1051/mmnp/2021022

Open Access

On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space

Mohammed Al-Smadi, Hemen Dutta, Shatha Hasan and Shaher Momani

Published online: 18 June 2021

DOI: https://doi.org/10.1051/mmnp/2021030

Open Access

A computational study of transmission dynamics for dengue fever with a fractional approach

Sunil Kumar, R.P. Chauhan, Jagdev Singh and Devendra Kumar

Published online: 09 August 2021

DOI: https://doi.org/10.1051/mmnp/2021032

Open Access

Investigation of COVID-19 mathematical model under fractional order derivative

Kamal Shah, Muhammad Arfan, Wejdan Deebani, Meshal Shutaywi and Dumitru Baleanu

Published online: 17 September 2021

DOI: https://doi.org/10.1051/mmnp/2021044

Open Access

A fractional diffusion model of CD8⁺ T cells response to parasitic infection in the brain

Afshin Farhadi and Emmanuel Hanert

Published online: 03 February 2022

DOI: https://doi.org/10.1051/mmnp/2022003

Mathematical Modelling of Natural Phenomena

Fractional Dynamics in Natural Phenomena