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Porous functions

Published:2019-12-01 Issue:6 Volume:22 Page:1502-1516
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Podlubny Igor¹

Affiliation:

1. BERG Faculty Technical University of Kosice , Kosice , B. Nemcovej 3 04200 , Slovakia

Abstract

Abstract A new approach to modeling the geometric structure of real materials based on a new type of functions – porous functions – is introduced. The general concept, basic operations, operations of calculus, visualization and interpretations, and potential applications of porous functions are outlined.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0078/pdf

Reference12 articles.

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5. A.Kh. Gil’mutdinov, P.A. Ushakov, Physical implementation of elements with fractal impedance: state of the art and prospects. J. of Communications Technology and Electronics62, No 5 (2017), 441–453; 10.1134/S1064226917050060.

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