@article{Kumar2022, 
author = {Anil Kumar and Muslim Malik and Mohammad Sajid and Dumitru Baleanu},
title = {Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2348-2369},
keywords = {fuzzy delay differential equations, Atangana-Baleanu fractional derivative, fixed point theorem, non-instantaneous impulses},
url = {https://www.sciopen.com/article/10.3934/math.2022133},
doi = {10.3934/math.2022133},
abstract = {The main concern of this manuscript is to examine some sufficient conditions under which the fractional order fuzzy delay differential system with the non-instantaneous impulsive condition has a unique solution. We also study the existence of a global solution for the considered system. Fuzzy set theory, Banach fixed point theorem and Non-linear functional analysis are the major tools to demonstrate our results. In last, an example is given to illustrate these analytical results.}
}