Open AccessA new class of fractional impulsive differential hemivariational inequalities with an application
Author(s) -
Yun-hua Weng,
Tao Chen,
Nan-jing Huang,
Donal O’Regan
Publication year - 2022
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2022.27.24649
Subject(s) - mathematics , uniqueness , perturbation (astronomy) , mathematical analysis , fixed point theorem , fractional calculus , differential equation , gronwall's inequality , inequality , physics , quantum mechanics
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.