Fractional differential equations in terms of comparison results and Lyapunov stability with initial time difference (Q963186)

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.