TY - JOUR
T1 - Analysis of nonlinear coupled systems of impulsive fractional differential equations with hadamard derivatives
AU - Riaz, Usman
AU - Zada, Akbar
AU - Ali, Zeeshan
AU - Ahmad, Manzoor
AU - Xu, Jiafa
AU - Fu, Zhengqing
N1 - Publisher Copyright:
© 2019 Usman Riaz et al.
PY - 2019/9/11
Y1 - 2019/9/11
N2 - This work is committed to establishing the assumptions essential for at least one and unique solution of a switched coupled system of impulsive fractional differential equations having derivative of Hadamard type. Using Krasnoselskii's fixed point theorem, the existence, as well as uniqueness results, is obtained. Along with this, different kinds of Hyers-Ulam stability are discussed. For supporting the theory, example is provided.
AB - This work is committed to establishing the assumptions essential for at least one and unique solution of a switched coupled system of impulsive fractional differential equations having derivative of Hadamard type. Using Krasnoselskii's fixed point theorem, the existence, as well as uniqueness results, is obtained. Along with this, different kinds of Hyers-Ulam stability are discussed. For supporting the theory, example is provided.
UR - https://www.scopus.com/pages/publications/85068194803
U2 - 10.1155/2019/5093572
DO - 10.1155/2019/5093572
M3 - Article
AN - SCOPUS:85068194803
SN - 1024-123X
VL - 2019
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 5093572
ER -