Dwivedi, GauravGauravDwivediTyagi, JagmohanJagmohanTyagiVerma, Ram BaranRam BaranVerma2025-08-302025-08-302019-01-0110.1619/fesi.62.612-s2.0-85056332886http://repository.iitgn.ac.in/handle/IITG2025/22684In this paper, we show the existence of a classical solution to a class of fractional logistic equations in an open bounded subset with smooth boundary. We use the method of sub-and super-solutions with variational arguments to establish the existence of a unique positive solution. We also establish the stability and non-degeneracy of the positive solution.trueFractional Laplacian | Integrodifferential operators | Positive solutions | Stability | Variational methodsArticlehttps://doi.org/10.1619/fesi.62.6161-7320193arJournal1WOS:000463848600003