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Two fractional order Langevin equation with new chaotic dynamics
2023
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.31801/cfsuasmas.1126025
Abstract:

In the present paper, we introduce a two-order nonlinear fractional sequential Langevin equation using the derivatives of Atangana-Baleanu and Caputo-Fabrizio. The existence of solutions is proven using a fixed point theorem under a weak topology, and an illustrative example is then given. Furthermore, we present new fractional versions of the Adams-Bashforth three-step approach for the Atangana-Baleanu and Caputo derivatives. New nonlinear chaotic dynamics are performed by numerical simulations.

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2023
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Author:  
DOI:  
10.31801/cfsuasmas.1126025
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Journal Type :   Ulusal

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics