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01357nam a2200193Ia 4500 |
| 001 |
10.1007-s13540-022-00030-6 |
| 008 |
220706s2022 CNT 000 0 und d |
| 020 |
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|a 13110454 (ISSN)
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| 245 |
1 |
0 |
|a Attractors of Caputo fractional differential equations with triangular vector fields
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| 260 |
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|b Springer Nature
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.1007/s13540-022-00030-6
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| 520 |
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|a It is shown that the attractor of an autonomous Caputo fractional differential equation of order α∈ (0 , 1) in Rd whose vector field has a certain triangular structure and satisfies a smooth condition and dissipativity condition is essentially the same as that of the ordinary differential equation with the same vector field. As an application, we establish several one-parameter bifurcations for scalar fractional differential equations including the saddle-node and the pichfork bifurcations. The proof uses a result of Cong & Tuan [2] which shows that no two solutions of such a Caputo FDE can intersect in finite time. © 2022, Diogenes Co.Ltd.
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| 650 |
0 |
4 |
|a Bifurcations
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| 650 |
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4 |
|a Caputo fractional differential equations
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| 650 |
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|a Global attractors (primary)
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| 650 |
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|a Triangular structured vector fields
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| 700 |
1 |
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|a Doan, T.S.
|e author
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| 700 |
1 |
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|a Kloeden, P.E.
|e author
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| 773 |
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|t Fractional Calculus and Applied Analysis
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