Stability of solutions to impulsive Caputo fractional differential equations

Date

2016-02-25

Authors

Agarwal, Ravi P.
Hristova, Snezhana
O'Regan, Donal

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation of fractional order is defined. This definition is a natural generalization of the Caputo fractional Dini derivative of a function. Several sufficient conditions for stability, uniform stability and asymptotic uniform stability of the solution are established. Some examples are given to illustrate the results.

Description

Keywords

Stability, Caputo derivative, Lyapunov functions, Impulses, Fractional differential equations

Citation

Agarwal, R., Hristova, S., & O'Regan, D. (2016). Stability of solutions to impulsive Caputo fractional differential equations. <i>Electronic Journal of Differential Equations, 2016</i>(58), pp. 1-22.

Rights

Attribution 4.0 International

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