Anomalous transport models for fluid classification: insights from an experimentally driven approach [PDF]
Discover NanoIn recent years, research and development in nanoscale science and technology have grown significantly, with electrical transport playing a key role. A natural challenge for its description is to shed light on anomalous behaviours observed in a variety ...
Sara Bernardi +3 more
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A qualitative study on the stability and existence of solutions in a fractional-order water pollution model via the predictor–corrector approach [PDF]
Scientific ReportsThe potential of fractional-order models to faithfully capture memory effects, anomalous diffusion and long-term persistence in the dynamics of water pollution has attracted a lot of interest in environmental science.
Naveed Iqbal +3 more
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Integrating machine-learning and nanotechnology to quantify pH-modulated oxaliplatin release [PDF]
Scientific ReportsThe purpose of this work was to formulate and characterize pH-sensitive, surfactant-based nanomicelles for the targeted delivery of Oxaliplatin to breast cancer cells. A secondary aim was to utilize machine learning (ML) models to interpolate and dissect
Sonia Fathi-karkan +2 more
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A fractional model for anomalous diffusion with increased variability: Analysis, algorithms and applications to interface problems [PDF]
Numerical Methods for Partial Differential Equations, 2022 AbstractFractional equations have become the model of choice in several applications where heterogeneities at the microstructure result in anomalous diffusive behavior at the macroscale. In this work we introduce a new fractional operator characterized by a doubly‐variable fractional order and possibly truncated interactions.
Marta D'Elia, Christian Glusa
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Fractal and Fractional, 2023 Rubella is a viral disease that can lead to severe health complications, especially in pregnant women and their unborn babies. Understanding the dynamics of the Rubella disease model is crucial for developing effective strategies to control its spread ...
Badr Saad T. Alkahtani
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Anomalous diffusion in the evolution of soccer championship scores: Real data, mean-field analysis, and an agent-based model [PDF]
Physical Review E, 2013 Statistics of soccer tournament scores based on the double round robin system of several countries are studied. Exploring the dynamics of team scoring during tournament seasons from recent years we find evidences of superdiffusion. A mean-field analysis results in a drift velocity equal to that of real data but in a different diffusion coefficient ...
Roberto, da Silva +3 more
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A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis [PDF]
Mathematical Modelling of Natural Phenomena, 2016 Summary: In this paper, a special model for the two-dimensional anomalous diffusion is first deduced from the basic continuous time random walk equations in terms of a time- and space-fractional partial differential equation with the Caputo time-fractional derivative of order \(\alpha/2\) and the Riesz space-fractional derivative of order \(\alpha ...
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Kinetic Investigation of LiCoO2 by Electrochemical Impedance Spectroscopy (EIS)
International Journal of Electrochemical Science, 2010 Electrochemical impedance spectroscopy (EIS) is employed to investigate the electrochemical properties of LiCoO2 cathode. At initial state, the Nyquist plots consist of one compressed semicircle in high and intermediate frequency ranges that reflect ...
Jishi Zhao +4 more
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Numerical investigation of fractional-order advection–diffusion–reaction problems using an efficient B-spline scheme [PDF]
AIP AdvancesFractional partial differential equations (FPDEs) have proven to be powerful modeling tools for describing a wide range of complex phenomena across physics, chemistry, biology, geology, engineering, and finance.
Hassan Q. Hassan, Bewar A. Mahmood
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Mathematical and Computer Modelling of Dynamical SystemsThis paper introduces a novel analytical framework for deriving multiple soliton and singular soliton solutions to M-coupled fractional evolution equations.
Abaker A. Hassaballa +4 more
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