Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference (Q963186)
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scientific article; zbMATH DE number 5690928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference |
scientific article; zbMATH DE number 5690928 |
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Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference (English)
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8 April 2010
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The paper considers how Lyapunov stability concepts can be applied to fractional differential equations of Riemann-Liouville or Caputo type. Following a review which explains why this idea is not straightforward, the author discusses basic theory on existence and uniqueness. The concepts of ITD-stability and Lyapunov-like functions are introduced and shown to provide a useful way of understanding classical fractional stability. The paper concludes by describing some comparison results and showing how the various definitions of stability are inter-related.
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Lyapunov stability
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fractional differential equations
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Riemann-Liouville derivatives
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Caputo derivatives
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initial time difference
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