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arXiv · 1211.4012

New Types of Solutions of Non-Linear Fractional Differential Equations

Mark Edelman·Laura Taieb
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Abstract

Using the Riemann-Liouville and Caputo Fractional Standard Maps (FSM) and the Fractional Dissipative Standard Map (FDSM) as examples, we investigate types of solutions of non-linear fractional differential equations. They include periodic sinks, attracting slow diverging trajectories (ASDT), attracting accelerator mode trajectories (AMT), chaotic attractors, and cascade of bifurcations type trajectories (CBTT). New features discovered include attractors which overlap, trajectories which intersect, and CBTTs.

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Mark Edelman, Laura Taieb. 2012-11-16. New Types of Solutions of Non-Linear Fractional Differential Equations. https://arxiv.org/abs/1211.4012

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