Title of article
A class of fractional order systems with not instantaneous impulses
Author/Authors
Zhang ، Xianmin - Yangtze Normal University
Pages
10
From page
4398
To page
4407
Abstract
This paper is concerned with a kind of fractional order systems with Caputo-Hadamard derivative (of order q ϵ C and R(q) ϵ (1, 2)) and not instantaneous impulses. The obtained result uncovers that there exists a general solution for these impulsive systems, which means that the state trajectory of these impulsive systems is non-unique, and it is expounded by a numerical example.
Keywords
Fractional differential equations , impulsive fractional differential equations , not instantaneous impulses , general solution , state trajectory
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476809
Link To Document