Article
A new approach for nuclear family model with fractional order Caputo derivative
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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.
Keywords
Fractional order derivative, existence and uniqueness, Adams-Bashforth numerical scheme, 26A33
Citation
Koca, I. & Yaprakdal, P. (2020). A new approach for nuclear family model with fractional order caputo derivative. Applied Mathematics and Nonlinear Sciences, 5(1), 393–404. https://doi.org/10.2478/amns.2020.1.00037
I. Koca and P. Yaprakdal, “A new approach for nuclear family model with fractional order caputo derivative,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 393–404, 2020, doi: 10.2478/amns.2020.1.00037.
Koca I, Yaprakdal P. A new approach for nuclear family model with fractional order caputo derivative. Applied Mathematics and Nonlinear Sciences. 2020;5(1):393–404. doi:10.2478/amns.2020.1.00037.
Koca, I. and Yaprakdal, P. (2020), ‘A new approach for nuclear family model with fractional order caputo derivative’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 393–404. Available at: https://doi.org/10.2478/amns.2020.1.00037.
Koca, Ilknur, and Pelin Yaprakdal. “A New Approach for Nuclear Family Model with Fractional Order Caputo Derivative.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 393–404. https://doi.org/10.2478/amns.2020.1.00037.
Koca, Ilknur, and Pelin Yaprakdal. “A New Approach for Nuclear Family Model with Fractional Order Caputo Derivative.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 393–404. https://doi.org/10.2478/amns.2020.1.00037.
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- DOI: 10.2478/amns.2020.1.00037
- Type: article
- Source: Applied Mathematics and Nonlinear Sciences
- Published: 2020-01-01
- OpenAlex ID: W3023821686
Published by: Engineering Journals


