Vol. 6, №1, 2014
РусскийEnglish

FRACTALS AND FRACTIONAL CALCULUS IN NATURAL SCIENCES



REFLECTIONS ON THE FRACTAL METHOD, METHOD OF THE FRACTIONAL INTEGRO-DERIVATIVES AND ABOUT THE FRACTAL PARADIGM IN THE MODERN NATURAL SCIENCE (FROM THE AUTHOR’S NOTEBOOKS)
Potapov A.A.

Dr Sci.Phys&Math, Chief Research Fellow, Academician of Russian Academy of Natural Sciences
Kotel’nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, http://www.cplire.ru
11/7, Mokhovaya str., 125009 Moscow, Russian Federation
potapov@cplire.ru; www.potapov-fractal.com

Received 20.06.2012


Methodological problems which arise during comprehensive using of the fractal method and fractional operators approach in the natural science have been considered. Work actuality based on urgent need for comprehension of fractality and chaos as unitary holistic process of creation of fractal paradigm and fractal natural science.

Key words: natural science, paradigm, method, fractal, fractional operator, scaling

UDC 50 + 530.1

Bibliography – 93 references

RENSIT, 2012, 4(1):103-142
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