@article{Rizwan2022, 
author = {Rizwan Rizwan and Jung Rye Lee and Choonkil Park and Akbar Zada},
title = {Qualitative analysis of nonlinear impulse langevin equation with helfer fractional order derivatives},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {6204-6217},
keywords = {Langevin equation, Hilfer fractional derivative, impulse, Ulam-Hyers stability},
url = {https://www.sciopen.com/article/10.3934/math.2022345},
doi = {10.3934/math.2022345},
abstract = {In this manuscript, a class of impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness and different types of Ulam-Hyers stability results of our proposed model, with the help of Banach's fixed point theorem. An example is provided at the end to illustrate our results.}
}