Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

被引：0
|
作者：
Usman Riaz
Akbar Zada
Zeeshan Ali
Yujun Cui
Jiafa Xu
机构：
[1] University of Peshawar,Department of Mathematics
[2] Shandong University of Science and Technology,State Key Laboratory of Mining Disaster Prevention and Control Co
[3] Chongqing Normal University,founded by Shandong Province and the Ministry of Science and Technology
来源：
Advances in Difference Equations | / 2019卷
关键词：
Hadamard fractional derivative; Nonlinear implicit impulsive coupled system; Existence theory; Hyers–Ulam stability;
D O I：
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中图分类号：
学科分类号：
摘要：
We present some results on the existence, uniqueness and Hyers–Ulam stability to the solution of an implicit coupled system of impulsive fractional differential equations having Hadamard type fractional derivative. Using a fixed point theorem of Kransnoselskii’s type, the existence and uniqueness results are obtained. Along these lines, different kinds of Hyers–Ulam stability are discussed. An example is given to illustrate the main theorems.
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