Department of Mathematics
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Item Stability of Positive Solution to Fractional Logistic Equations(Division of Functional Equations, 2019) Dwivedi, GauravIn 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 nondegeneracy of the positive solution.