All Stories

  1. Self-Similarity Principle and the General Theory of Fractal Elements: How to Fit a Random Curve with a Clearly Expressed Trend?

    Article • Mathematics, June 2023, MDPI AG

    Prof., Dr Raoul R. Nigmatullin

  2. Selection of the best photodiode based on analysis of fluctuations/noise characteristics in the frame of the CAPoNeF method

    Article • January 2023, American Institute of Physics

    Prof., Dr Raoul R. Nigmatullin, Vadim Alexandrov

  3. Differentiation of Different Sorts of Sugars by the CAPoNeF Method

    Article • Electroanalysis, September 2021, Wiley

    Prof., Dr Raoul R. Nigmatullin

  4. “Fuzzy” calculus: The link between quantum mechanics and discrete fractional operators

    Article • Fractional Calculus and Applied Analysis, June 2020, De Gruyter

    Prof., Dr Raoul R. Nigmatullin, Dr. Guido Maione, Paolo Lino

  5. New Digital Signal Processing Methods

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  6. Applications of NIMRAD in Electrochemistry

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  7. Description of Partly Correlated Random Sequences: Replacement of Random Sequences by the Generalised Prony Spectrum

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  8. Reduction of Trendless Sequences of Data by Universal Parameters

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  9. The Statistics of Fractional Moments and its Application for Quantitative Reading of Real Data

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  10. The General Theory of Reproducible and Quasi-Reproducible Experiments

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  11. The Eigen-Coordinates Method: Description of Blow-Like Signals

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  12. The Eigen-Coordinates Method: Reduction of Non-linear Fitting Problems

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  13. The Quantitative “Universal” Label and the Universal Distribution Function for Relative Fluctuations. Qualitative Description of Trendless Random Functions

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  14. The Non-orthogonal Amplitude Frequency Analysis of Smoothed Signals Approach and Its Application for Describing Multi-Frequency Signals

    Article • January 2020, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin

  15. New Method for Calibrating a Complex Equipment: Creation of the Confidence Tube for Fractal-Like Noise

    Article • October 2019, Institute of Electrical & Electronics Engineers (IEEE)

    Prof., Dr Raoul R. Nigmatullin

  16. Any random noise has its deterministic component related to the Discrete Geometrical Invariants

    Article • Communications in Nonlinear Science and Numerical Simulation, July 2019, Elsevier

    Prof., Dr Raoul R. Nigmatullin

  17. The first application of the DGI in Electrochemistry

    Article • Applied Sciences, March 2019, MDPI AG

    Prof., Dr Raoul R. Nigmatullin

  18. How quantitatively describe the complex beatings associated with seismic waves?

    Article • Chaos Solitons & Fractals, March 2019, Elsevier

    Prof., Dr Raoul R. Nigmatullin

  19. How to detect possible traces in the present of the gadgets artefacts?

    Article • New Journal of Chemistry, January 2019, Royal Society of Chemistry

    Prof., Dr Raoul R. Nigmatullin

  20. New approach in electrochemistry based on the percolation theory

    Article • Chaos Solitons & Fractals, January 2018, Elsevier

    Prof., Dr Raoul R. Nigmatullin

  21. How to describe quantitatively the random background in electrochemistry?

    Article • Madridge Journal of Analytical Sciences and Instrumentation, December 2017, Madridge Publishers, LLC

    Prof., Dr Raoul R. Nigmatullin

  22. Accurate relationships between fractals and fractional integrals: New approaches and evaluations

    Article • Fractional Calculus and Applied Analysis, October 2017, De Gruyter

    Prof., Dr Raoul R. Nigmatullin

  23. New concept of the fractal experiment is formulated.

    Article • Chaos Solitons & Fractals, October 2016, Elsevier

    Prof., Dr Raoul R. Nigmatullin

  24. Forecasting of random sequences and Prony decomposition of finance data

    Article • Analysis, January 2016, De Gruyter

    Professor Jose Tenreiro Machado, Prof., Dr Raoul R. Nigmatullin

  25. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Jose Tenreiro Machado, Prof. Virginia S. Kiryakova, Professor Dumitru Baleanu, Prof. Dr. Kai Diethelm, Prof. Roberto Garrappa, Prof. Dr. Yuri Luchko, Prof., Dr Raoul R. Nigmatullin, Prof. Manuel D Ortigueira, Professor Vasily E Tarasov, Teodor Atanackovic, Rachid Malti

  26. Electrolytic Fractional Derivative and Integral of Two-Terminal Element

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Prof., Dr Raoul R. Nigmatullin

  27. Do you want to fit the random signal in the frame of the NAFASS-approach? Do it!

    Article • Chaos Solitons & Fractals, May 2011, Elsevier

    Prof., Dr Raoul R. Nigmatullin

  28. The Digital Signal Processing

    Article • January 2006, Springer Science + Business Media

    Prof., Dr Raoul R. Nigmatullin