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. Electronic Journal of Differential Equations, 2016(58), pp. 1-22.
Rights
Attribution 4.0 International