SOME STABILITY PROPERTIES RELATED TO INITIAL TIME DIFFERENCE FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

作者：Agarwal Ravi^*; Hristova Snezhana; O'Regan Donal

来源：Fractional Calculus and Applied Analysis, 2018, 21(1): 72-93.

DOI：10.1515/fca-2018-0005

• Caputo fractional differential equations
• Lipschitz stability
• Mittag-Leffler stability
• initial data difference
• Lyapunov functions

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.

• 出版日期2018-2