Weakly Asymptotic Stability for Fractional Delay Differential Mixed Variational Inequalities

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In this paper, we introduce and study a new class of fractional delay differential mixed variational inequalities (FDDMVI, for short) formulated by a fractional delay evolution inclusion and a mixed variational inequality in infinite Banach spaces. By applying a new measure of noncompactness and fixed point theorem for a condensing set-valued map, we obtain the global solvability of a FDDMVI on the half-line. Furthermore, we apply the obtained results to establish a weakly asymptotic stability result of the zero mild solution to a FDDMVI. Finally, an example is given to demonstrate the main results.