| Existence and Finite Time Stability of Nonlinear Riemann-Liouville Fractional Delay Differential Equations |
| Received:March 08, 2023 Revised:November 15, 2023 |
| Key Words:
fractional oscillatory differential equations delay differential equation finite time stability
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11871064). |
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| Abstract: |
| This article explores the existence results and finite time stability of nonlinear Riemann-Liouville fractional oscillatory differential equations of order $1<\varrho<2$ with pure delay. The approaches we adopted to explore the existence results are fixed point theorems. What's more, based on some important inequalities, we explore the finite time stability of the system. In the end, the rationality of our conclusion is verified by a case. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.02.009 |
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