The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect

Advances in Difference Equations

Xianmin Zhang¹ 

[1] School of Electronic Engineering, Jiujiang University, Jiujiang, China

关键词: fractional differential equations;    Caputo-Hadamard fractional derivative;    impulse;    general solution;    34A08;    34A37;   

DOI  :  10.1186/s13662-015-0552-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the formula of general solution for nonlinear systems with Caputo-Hadamard fractional derivatives and impulsive effect is found by analysis of the limit case (as impulse tends to zero), and it shows that the deviation caused by impulse for the fractional-order nonlinear systems is undetermined. Next, an example is given to illustrate the result.

【 授权许可】

CC BY