Journal of Jishou University(Natural Sciences Edition)

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Global Existence and Stability of Solutions of Tempered Fractional Differential Equations

ZHANG Yuyao, ZHONG Wenyong   

  1. (College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
  • Online:2020-03-25 Published:2020-09-08


Firstly, the comparison principle and inequality about the tempered fractional derivative are established, then the convex Lyapunov function is used to establish the criteria for the global existence and stability of the initial value problem of Caputo tempered fractional derivative.

Key words: Caputo tempered fractional derivative, tempered fractional differential equations, global existence, stability, convex Lyapunov functions

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