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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Dynamics with Fractals

Discontinuity, Nonlinearity, and Complexity 10(2) (2021) 173--184 | DOI:10.5890/DNC.2021.06.001

Marat Akhmet$^{1}$ , Mehmet Onur Fen$^{2}$, Ejaily Milad Alejaily$^{3}$

$^{1}$ Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

$^{2}$ Department of Mathematics, TED University, 06420 Ankara, Turkey

$^{3}$ College of Engineering Technology, Houn, Libya

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When deterministically extended structures are taken into consideration, it is admissible that fractals are dense both in the nature and in the dynamics. In particular, this is true because fractal structures are closely related to chaos. To make advances in the direction, first of all, one should consider fractals as states of dynamics. If one realizes this approach, fractals will be proved to be dense in the universe, since modeling the real world is based on differential equations and their developments.


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