On impulsive partial differential equations with Caputo-Hadamard fractional derivatives

Advances in Difference Equations

Xianmin Zhang¹ 

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

关键词: impulsive fractional partial differential equations;    fractional partial differential equations;    impulse;    general solution;    34A08;    34A37;   

DOI  :  10.1186/s13662-016-1008-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the mixed Caputo-Hadamard fractional derivative is introduced based on the Caputo-type modification of Hadamard fractional derivatives in the existing paper, and impulsive partial differential equations with Caputo-Hadamard fractional derivatives are studied. The formula of a general solution for these impulsive fractional partial differential equations is found by considering some limiting cases (impulses tending to zero), and its validity is shown by an example.

【 授权许可】

CC BY