Generalized Hamilton system and fractional gradient system
This work studies the relationships between the generalized Hamilton and fractional gradient systems. We provide a new condition for generalized Hamilton systems to be any order (integer or non-integer) fractional gradient systems, which differs from previous studies that only gave a second-order fr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2023-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0174244 |
| Summary: | This work studies the relationships between the generalized Hamilton and fractional gradient systems. We provide a new condition for generalized Hamilton systems to be any order (integer or non-integer) fractional gradient systems, which differs from previous studies that only gave a second-order fractional gradient presentation for generalized Hamilton systems. Based on its definition, we also discuss the condition for fractional gradient systems to be generalized Hamilton systems, which deduces a family of fractional dynamical models for generalized Hamilton systems. The reported results are a special case of our results. Our results are showcased in two examples to illustrate its applicability. |
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| ISSN: | 2158-3226 |