A new collection of real world applications of fractional calculus in science and engineering

HG Sun, Y Zhang, D Baleanu, W Chen… - … in Nonlinear Science and …, 2018 - Elsevier
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …

[Retracted] The Mathematical Analysis of the New Fractional Order Ebola Model

FM Khan, A Ali, E Bonyah, ZU Khan - Journal of Nanomaterials, 2022 - Wiley Online Library
This research study focuses on the analytical behavior and numerical computation of the
fractional order Ebola model. In this study we have calculated the conditions for the …

The “Universal” Set of Quantitative Parameters for Reading of the Trendless Sequences

RR Nigmatullin, AS Vorobev - Fluctuation and Noise Letters, 2019 - World Scientific
In this paper, we want to demonstrate a set of “universal” parameters that help to read
quantitatively any trendless sequence (TLS). This set will be very useful in order to select the …

Advanced and sensitive method by discrete geometrical invariants for detection of differences between complex fluids

RR Nigmatullin, AS Vorobev, AR Nasybullin… - … in Nonlinear Science …, 2019 - Elsevier
A new method based on the so-called discrete geometrical invariants (DGIs) is proposed to
highlight the statistical differences between random sequences that can be presented in the …

Detection of quasi-periodic processes in experimental measurements: Reduction to an “ideal experiment”

RR Nigmatullin - Complex Motions and Chaos in Nonlinear Systems, 2016 - Springer
In this chapter, a general concept for the consideration of any reproducible data, measured
in many experiments, in one unified scheme is proposed. In addition, it has been …

New quantitative methods of electrode evaluation under continuous voltammetric conditions

RR Nigmatullin, HC Budnikov, AV Sidelnikov… - New Journal of …, 2017 - pubs.rsc.org
Based on the recent results obtained in papers it has become possible to create an original
theory for the quantitative detection/description of different electrode states in …

Сравнение возможностей гистограмм и метода ранжированных амплитуд при анализе шумов однофотонных детекторов

НС Перминов, МА Смирнов… - Компьютерная …, 2018 - cyberleninka.ru
Проведен сравнительный анализ возможностей метода гистограмм и метода
последовательности ранжированных амплитуд при статистической параметризации …

Generalized hurst hypothesis: description of time-series in communication systems

R Nigmatullin, S Dorokhin, A Ivchenko - Mathematics, 2021 - mdpi.com
In this paper, we focus on the generalization of the Hurst empirical law and suggest a set of
reduced parameters for quantitative description of long-time series. These series are usually …

[PDF][PDF] Application of the discrete geometrical invariants to the quantitative monitoring of the electrochemical background

RR Nigmatullin, HC Budnikov, AV Sidelnikov… - Res. J. Math. Comput …, 2017 - kpfu.ru
In this paper, we apply the statistics of the fractional moments (SFM) and discrete
geometrical sets/invariants (DGI) for explain of the temporal evolution of the electrochemical …

[PDF][PDF] Research Article The Mathematical Analysis of the New Fractional Order Ebola Model

FM Khan, A Ali, E Bonyah, ZU Khan - 2022 - pdfs.semanticscholar.org
This research study focuses on the analytical behavior and numerical computation of the
fractional order Ebola model. In this study we have calculated the conditions for the …