To address the massive growth of data traffic over cellular networks, increasing spatial reuse of the frequency spectrum by the deployment of small base stations (SBSs) has been considered. For rapid deployment of SBSs in the networks, caching popular content along with new coded caching schemes are proposed. To maximize the cellular network's capacity, densifying it with small base stations is inevitable. In ultra-dense cellular networks, coverage of SBSs may overlap. To this aim, the multi-access caching system, where users potentially can access multiple cache nodes simultaneously, has attracted more attention in recent years. Most previous works on multi-access coded caching, only consider specific conditions such as cyclic wrap-around network topologies. In this paper, we investigate caching in ultra-dense cellular networks, where different users can access different numbers of caches under non-uniform content popularity distribution, and propose Multi-Access Hybrid coded-uncoded Caching (MAHC). We formulate the optimization problem of the proposed scheme for general network topologies and evaluate it for 2-SBS network scenarios. The numerical and simulation results show that the proposed MAHC scheme outperforms optimal conventional uncoded and previous multi-access coded caching (MACC) schemes.