The derivation of the generalized functional equations describing self-similar processes

DOI10.2478/s13540-012-0049-5zbMath1312.28001OpenAlexW2169941301MaRDI QIDQ2347208

Dumitru Baleanu, Raoul R. Nigmatullin

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-012-0049-5

zbMATH Keywords

fractional calculusWeierstrass-Mandelbrot functionself-similar (fractal) processessolutions of functional equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Functional equations for real functions (39B22) Fractals (28A80) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02)

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Cites Work

• Calculation of a static potential created by plane fractal cluster
• Recognition of the ``fractional kinetics in complex systems: dielectric properties of fresh fruits and vegetables from 0.01 to 1.8 ghz
• New Trends in Nanotechnology and Fractional Calculus Applications
• Fractional Kinetics in Solids
• Advances in Fractional Calculus
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