This systematic literature review synthesises and critically analyses the growing body of research applying computational methods to the study of conflict and peace processes in South Sudan. It examines how data science, machine learning, natural language processing, and spatial analysis are being used to model conflict dynamics, track ceasefire violations, analyse hate speech and media narratives, and evaluate the efficacy of peacebuilding interventions. The review identifies predominant methodological trends, key data sources, and significant gaps in the current scholarship. It argues that while computational approaches offer powerful tools for pattern recognition and predictive analysis, their integration with qualitative, context-rich peace and conflict studies remains underdeveloped. The findings contribute to interdisciplinary dialogue by proposing a framework for more robust, ethically informed, and policy-relevant computational conflict research in fragile states.