Contents V.6, N.2, 2015

  • A Survey of Results in the Theory of Fractional Spaces Generated by Positive Operators
    A.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.

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