The oscillatory solutions of multi-order fractional differential equations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917801290104832 |
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| author | Thai, H. D. Tuan, H. T. |
| author_facet | Thai, H. D. Tuan, H. T. |
| contents | This paper systematically treats the asymptotic behavior of many (linear/nonlinear) classes of higher-order fractional differential equations with multiple terms. To do this, we utilize the characteristics of Caputo fractional differentiable functions, the comparison principle, counterfactual reasoning, and the spectral analysis method (concerning the integral presentations of basic solutions). Some numerical examples are also provided to demonstrate the validity of the proposed results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09369 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The oscillatory solutions of multi-order fractional differential equations Thai, H. D. Tuan, H. T. Dynamical Systems 26A33, 34A08, 34C10, 34D05, 45A05, 45G05 This paper systematically treats the asymptotic behavior of many (linear/nonlinear) classes of higher-order fractional differential equations with multiple terms. To do this, we utilize the characteristics of Caputo fractional differentiable functions, the comparison principle, counterfactual reasoning, and the spectral analysis method (concerning the integral presentations of basic solutions). Some numerical examples are also provided to demonstrate the validity of the proposed results. |
| title | The oscillatory solutions of multi-order fractional differential equations |
| topic | Dynamical Systems 26A33, 34A08, 34C10, 34D05, 45A05, 45G05 |
| url | https://arxiv.org/abs/2410.09369 |