Results 81 to 90 of about 415,340 (252)

Cauchy Problem for the Nonlocal Equation Diffusion-Advection Radon in Fractal Media

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
In this article, using the Green's function method solved the Cauchy problem for the equation of anomalous diffusion-advection of radon in a fractal medium, which is represented by a fractional derivative of the Caputo time fractional derivative and ...
R. I. Parovik
doaj   +1 more source

Deciphering Intricacies in Directional CO2 Conversion From Electrolysis to CO2 Batteries

Advanced Energy Materials, EarlyView.
This review will delve into the inherent connections and distinctions of CO2‐directed conversion in ECO2RR and CO2 batteries, in terms of product types, catalyst selection, catalytic mechanisms, and electrochemical performances, while proposing a benchmarking framework for the evaluation of CO2 batteries and innovative CO2 battery configurations for ...
Changfan Xu, Huaping Zhao, Lizhuang Chen, Weidong Shi, Guosheng Shao, Yong Lei   +5 more
wiley   +1 more source

Fractal-fractional mathematical modeling of monkeypox disease and analysis of its Ulam–Hyers stability

Boundary Value Problems
This paper utilizes a mathematical model based on the Atangana–Baleanu fractal-fractional derivative to investigate different epidemiological aspects of monkeypox virus infection.
Tharmalingam Gunasekar, Shanmugam Manikandan, Salma Haque, Murgan Suba, Nabil Mlaiki   +4 more
doaj   +1 more source

New Derivatives on the Fractal Subset of Real-Line

Entropy, 2016
In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets.
Alireza Khalili Golmankhaneh, Dumitru Baleanu   +1 more
doaj   +1 more source

The Collective Power of Bacteria as a Blueprint for Emergent Intelligence

Advanced Intelligent Systems, EarlyView.
Small cells, powerful collectives. Bacteria demonstrate how sophisticated behaviors can emerge from many simple individuals working together. We explore the remarkable world of bacterial communities and the mechanisms that underpin their complex emergent behaviors, enabling impressive adaptability, robustness, and responsiveness to changing ...
Johanna A. Blee, Thomas E. Gorochowski, Sabine Hauert   +2 more
wiley   +1 more source

Application of a time-fractal fractional derivative with a power-law kernel to the Burke-Shaw system based on Newton's interpolation polynomials

MethodsX
This paper proposes some updated and improved numerical schemes based on Newton's interpolation polynomial. A Burke-Shaw system of the time-fractal fractional derivative with a power-law kernel is presented as well as some illustrative examples. To solve
Najat Almutairi, Sayed Saber
doaj   +1 more source

On Fractional and Fractal Derivatives in Relation to the Physics of Fractals

Recoletos Multidisciplinary Research Journal, 2013
Fractional and fractal derivatives are both generalizations of the usual derivatives that consider derivatives of non-integer orders. Interest in these generalizations has been triggered by a resurgence of clamor to develop a mathematical tool to ...
Roberto N. Padua, Miraluna L. Herrera, Adriano V. Patac Jr., Michael V. Sabugaa, Gibson T. Maglasang, Mark S. Borres, Jay M. Ontolan   +6 more
doaj   +1 more source

Multi-Fractal Spectral Analysis of the 1987 Stock Market Crash [PDF]

The multifractal model of asset returns captures the volatility persistence of many financial time series. Its multifractal spectrum computed from wavelet modulus maxima lines provides the spectrum of irregularities in the distribution of market returns ...
CORNELIS A. LOS, ROSSITSA M. YALAMOVA
core  

Radiative Hybrid Nanofluid Flow Over a Porous Riga Surface: A Fuzzy–ANN Modeling Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This study proposes a fuzzy–ANN model to investigate the nonlinear thermal transport in a tangent hyperbolic (Tanh) hybrid nanofluid flow past a porous Riga surface, considering the effects of Rosseland diffusion, chemical reactions, and internal volumetric heating.
Azad Hussain, Rabia Zetoon, Reeha Iqbal
wiley   +1 more source

Local Fractional Fourier Series Solutions for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow with Local Fractional Derivative

Advances in Mechanical Engineering, 2014
The fractal heat flow within local fractional derivative is investigated. The nonhomogeneous heat equations arising in fractal heat flow are discussed.
Ai-Min Yang, Carlo Cattani, Ce Zhang, Gong-Nan Xie, Xiao-Jun Yang   +4 more
doaj   +1 more source