Uniqueness criteria for initial value problem of conformable fractional differential equation
This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theory, and advances its development in proving fracti...
| Published in: | Electronic Research Archive |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-05-01
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| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023207?viewType=HTML |
| Summary: | This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theory, and advances its development in proving fractional differential equations. Finally, we verify the main conclusions of this paper by providing four concrete examples. |
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| ISSN: | 2688-1594 |