Journal Title
Title of Journal: Appl Math
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Abbravation: Applications of Mathematics
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Publisher
Springer Berlin Heidelberg
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Authors: Ravi Agarwal Donal O’Regan Snezhana Hristova
Publish Date: 2015/12/22
Volume: 60, Issue: 6, Pages: 653-676
Abstract
The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunovlike functions The novelty of this paper is based on the new definition of the derivative of a Lyapunovlike function along the given fractional equation Comparison results using this definition for scalar fractional differential equations are presented Several sufficient conditions for stability uniform stability and asymptotic uniform stability based on the new definition of the derivative of Lyapunov functions and the new comparison result are established
Keywords:
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