期刊论文详细信息
Advances in Difference Equations | |
On impulsive partial differential equations with Caputo-Hadamard fractional derivatives | |
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
【 预 览 】
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