Global Existence and Stability of Solutions of Tempered Fractional Differential Equations

doi:10.13438/j.cnki.jdzk.2020.02.002

Abstract

Abstract:

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

ZHANG Yuyao, ZHONG Wenyong. Global Existence and Stability of Solutions of Tempered Fractional Differential Equations[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.13438/j.cnki.jdzk.2020.02.002.

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