Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 5, Issue 1


Published
on

March 31, 2020


Pages

393-404


DOI

Article

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

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Authors

Ilknur Koca Affiliation:
Mehmet Akif Ersoy University, Department of Mathematics, Faculty of Sciences, 15100, Burdur, Turkey
and Pelin Yaprakdal Affiliation:
Mehmet Akif Ersoy University, Department of Mathematics, Faculty of Sciences, 15100, Burdur, Turkey


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
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14 References
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