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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...
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Article
Open AccessConvolution 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 ...
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Article
Open AccessFractional 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...
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Article
Open AccessOn 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...