A Survey of Results in the Theory of Fractional Spaces Generated by Positive OperatorsA.Ashyralyev (pp. 129-157)
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.
fractional spaces, positive operators, differential and difference operators, Banach spaces, interpolation spaces, stability.