<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical models have been considered and new methods have been used for approaching of these models. In this paper we are considering mathematical modeling of nuclear family model with fractional order Caputo derivative. Also the existence and uniqueness results and numerical scheme are given with Adams-Bashforth scheme via fractional order Caputo derivative.</p></abstract>

A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical models have been considered and new methods have been used for approaching of these models. In this paper we are considering mathematical modeling of nuclear family model with fractional order Caputo derivative. Also the existence and uniqueness results and numerical scheme are given with Adams-Bashforth scheme via fractional order Caputo derivative.

A new approach for nuclear family model with fractional order Caputo derivative

Department of Mathematics, Faculty of Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A new approach for nuclear family model with fractional order Caputo derivative"}

A work on a mathematical modeling is very popular in applied sciences. Nowadays many mathematical models have been considered and new methods have been used...

A new approach for nuclear family model with fractional order Caputo derivative

Published Online: Mar 31, 2020

Page range: 393 - 404

Received: Jun 06, 2019

Accepted: Jun 25, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00037

Keywords
Fractional order derivative, existence and uniqueness, Adams-Bashforth numerical scheme

© 2019 Ilknur Koca et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A new approach for nuclear family model with fractional order Caputo derivative

Published Online: Mar 31, 2020

Page range: 393 - 404

Received: Jun 06, 2019

Accepted: Jun 25, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00037

KeywordsFractional order derivative, existence and uniqueness, Adams-Bashforth numerical scheme

© 2019 Ilknur Koca et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Fractional order derivative, existence and uniqueness, Adams-Bashforth numerical scheme