A Survey of Results in the Theory of Fractional Spaces Generated by Positive OperatorsA.Ashyralyev (pp. 129-157)
Abstract.This is a review paper on results for fractional spaces generated by positive operators. Its scope ranges from theory of differential and difference operators in a space to operators with local and nonlocal boundary conditions. We also discuss their applications to partial differential equations and theory of difference schemes for partial differential equations.
Keywords:fractional spaces, positive operators, differential and difference operators, Banach spaces, interpolation spaces, stability.