Affiliation:
1. Department of Mathematics, Shanghai University , Shanghai 200444, China
Abstract
AbstractIn this article, we focus on the relations between the asymptotics of solutions and the sensitivity to initial values of fractional differential systems. To investigate this problem, we consider the ψ-fractional calculus, which is considered to be a generalization of those of Riemann–Liouville and Hadamard. For this purpose, we define Lyapunov exponents for ψ-fractional differential systems and estimate their upper bounds. Examples are presented to demonstrate the accuracy of our results.
Subject
Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,General Medicine
Reference20 articles.
1. Applications of Generalized Fractional Hemivariational Inequalities in Solid Viscoelastic Contact Mechanics;Commun. Nonlinear Sci. Numer. Simul.,2022
2. Stability and ψ-Algebraic Decay of the Solution to ψ-Fractional Differential System;Int. J. Nonlinear Sci. Numer. Simul.,2021
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