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  1. Article

    Open Access

    On extremal domains and codomains for convolution of distributions and fractional calculus

    It is proved that the class of c-closed distribution spaces contains extremal domains and codomains to make convolution of distributions a well-defined bilinear map**. The distribution spaces are systematica...

    T. Kleiner, R. Hilfer in Monatshefte für Mathematik (2022)

  2. Article

    Open Access

    Fractional glassy relaxation and convolution modules of distributions

    Solving fractional relaxation equations requires precisely characterized domains of definition for applications of fractional differential and integral operators. Determining these domains has been a longstand...

    T. Kleiner, R. Hilfer in Analysis and Mathematical Physics (2021)

  3. Article

    Open Access

    Convolution operators on weighted spaces of continuous functions and supremal convolution

    The convolution of two weighted balls of measures is proved to be contained in a third weighted ball if and only if the supremal convolution of the corresponding two weights is less than or equal to the third ...

    T. Kleiner, R. Hilfer in Annali di Matematica Pura ed Applicata (1923 -) (2020)

  4. No Access

    Chapter and Conference Paper

    Fractional Evolution Equations and Irreversibility

    The paper reviews a general theory predicting the general importance of fractional evolution equations. Fractional time evolutions are shown to arise from a microscopic time evolution in a certain long time sc...

    R. Hilfer in Traffic and Granular Flow ’99 (2000)