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A new class of fractional impulsive differential hemivariational inequalities with an application
- Source :
- Nonlinear Analysis, Vol 27 (2022)
- Publication Year :
- 2022
- Publisher :
- Vilnius University Press, 2022.
-
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.
- Subjects :
- fractional differential variational inequality
fractional impulsive equation
QA299.6-433
Mathematics - Analysis of PDEs
Optimization and Control (math.OC)
Applied Mathematics
FOS: Mathematics
hemivariational inequality
frictional contact
Mathematics - Optimization and Control
Analysis
Analysis of PDEs (math.AP)
Subjects
Details
- ISSN :
- 23358963 and 13925113
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Nonlinear Analysis: Modelling and Control
- Accession number :
- edsair.doi.dedup.....41619abfa25f489a7f9b29eaf496c533