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Some mathematical models of fractional order and their numerical solutions"

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2021
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Abstract (EN)

In this thesis, our aim is to introduce some mathematical models and to investigate numerical solutions of these models by modifying these models from classical order with fractional order. Since such models are nonlinear and difficult to obtain analytical solutions, numerical methods are needed to solve these models. Therefore, in this paper, we will present a numerical algorithm based on the Newton polynomial. For this, we first take the Chameleon (chameleon) chaotic system, later a model about social media addiction and solve these systems numerically using different differential operators. We examine the behavior of these models with numerical simulations.

Author

Orhan Dağ

How to Cite

Orhan Dağ (Master Thesis). Some mathematical models of fractional order and their numerical solutions", 2021, Siirt University.

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