Affiliation:
1. Department of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
Abstract
This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function. It is essential to seek explicit formulas for the solutions to linear impulsive fractional differential delay equations. Based on explicit formulas of the solutions, the finite-time stability results of impulsive fractional differential delay equations are presented. Finally, we present four examples to illustrate the validity of our theoretical results.
Funder
National Natural Science Foundation of China
Guizhou Provincial Science and Technology Projects
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis