Some stability properties related to initial time difference for Caputo fractional differential equations
2018 ◽
Vol 21
(1)
◽
pp. 72-93
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Keyword(s):
Abstract Lipschitz stability and Mittag-Leffler stability with initial time difference for nonlinear nonautonomous Caputo fractional differential equation are defined and studied using Lyapunov like functions. Some sufficient conditions are obtained. The fractional order extension of comparison principles via scalar fractional differential equations with a parameter is employed. The relation between both types of stability is discussed theoretically and it is illustrated with examples.
2017 ◽
Vol 36
(1)
◽
pp. 49-77
◽
2017 ◽
Vol 42
◽
pp. 106-120
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2016 ◽
Vol 19
(2)
◽