A new class of fractional impulsive differential hemivariational inequalities with an application
Abstract
We consider a new fractional impulsive differential hemivariational inequality which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework. By utilizing a surjectivity theorem and a fixed point theorem, we establish an existence and uniqueness theorem for such a problem. Moreover, we investigate the perturbation problem of the fractional impulsive differential hemivariational inequality to prove a convergence result which describes the stability of the solution in relation to perturbation data. Finally, our main results are applied to obtain some new results for a frictional contact problem with the surface traction driven by the fractional impulsive differential equation.
Keywords
Cite
@article{arxiv.2011.07789,
title = {A new class of fractional impulsive differential hemivariational inequalities with an application},
author = {Yun-hua Weng and Tao Chen and Nan-jing Huang and Donal O'Regan},
journal= {arXiv preprint arXiv:2011.07789},
year = {2020}
}