Department of Mathematics

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    Stability of Positive Solution to Fractional Logistic Equations
    (Division of Functional Equations, 2019) Dwivedi, Gaurav
    In 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.