Stability of Fractional-Order Quasi-Linear Impulsive Integro-Differential Systems with Multiple Delays

Abstract

In this paper, some novel conditions for the stability results for a class of fractional-order quasi-linear impulsive integro-differential systems with multiple delays is discussed. First, the existence and uniqueness of mild solutions for the considered system is discussed using contraction mapping theorem. Then, novel conditions for Mittag–Leffler stability (MLS) of the considered system are established by using well known mathematical techniques, and further, the two corollaries are deduced, which still gives some new results. Finally, an example is given to illustrate the applications of the results.

Keywords

• fractional-order system
• quasi-linear system
• impulse
• integro-differential equation
• stability
• multiple delays