论文标题
一类新的分数冲动差分半传向不平等现象
A new class of fractional impulsive differential hemivariational inequalities with an application
论文作者
论文摘要
我们考虑了一种新的分数冲动差分差分不平等，该不平等现象捕获了同一框架内的半分化不平等和分数冲动差分方程的所需特征。通过利用过滤性定理和固定点定理，我们为这种问题建立了存在和唯一性定理。此外，我们研究了分数脉冲差分半传染性不平等的扰动问题，以证明融合结果描述了溶液在扰动数据中的稳定性。最后，我们的主要结果将用于获得一些摩擦接触问题的新结果，并通过分数冲动微分方程驱动的表面牵引力。
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.
