They’re all the same species, Acinonyx jubatus. Just different subspecies (Acinonyx jubatus jubatus and Acinonyx jubatus venaticus) and genetic studies show a separation of only 32,000 and 67,000 years between the Asiatic subspecies and African subspecies.

Citation: Charruau, P.; Fernandes, C.; Orozco-Terwengel, P.; Peters, J.; Hunter, L.; Ziaie, H.; Jourabchian, A.; Jowkar, H.; Schaller, G. & Ostrowski, S. (2011). "Phylogeography, genetic structure and population divergence time of cheetahs in Africa and Asia: evidence for long-term geographic isolates". Molecular Ecology. 20 (4): 706–724. doi:10.1111/j.1365-294X.2010.04986.x. PMC 3531615. PMID 21214655.