Review about the application of fractal theory in the research of packaging materials

Q Duan, J An, H Mao, D Liang, H Li, S Wang, C Huang - Materials, 2021 - mdpi.com
The work is intended to summarize the recent progress in the work of fractal theory in
packaging material to provide important insights into applied research on fractal in …

[图书][B] Fractal functions, dimensions and signal analysis

The traditional interpolation techniques generate smooth or piecewise differentiable
interpolation function, despite the data points being irregular. Nevertheless, most of the …

Event-triggered impulsive controller design for synchronization of delayed chaotic neural networks and its fractal reconstruction: an application to image encryption

SS Mohanrasu, K Udhayakumar, TMC Priyanka… - Applied Mathematical …, 2023 - Elsevier
This paper examines synchronization of delayed chaotic neural networks with impulsive
control, event-triggered impulsive control, and event-triggered delayed impulsive control …

Fractal dimension of -fractal function on the Sierpiński Gasket

V Agrawal, T Som - The European Physical Journal Special Topics, 2021 - Springer
This research article deals with the fractal interpolation function and its box dimension
corresponding to a continuous function, defined on the Sierpiński gasket. This research also …

An exploration of fractal-based prognostic model and comparative analysis for second wave of COVID-19 diffusion

D Easwaramoorthy, A Gowrisankar, A Manimaran… - Nonlinear …, 2021 - Springer
Abstract The coronavirus disease 2019 (COVID-19) pandemic has fatalized 216 countries
across the world and has claimed the lives of millions of people globally. Researches are …

Analysis on Weyl–Marchaud fractional derivative for types of fractal interpolation function with fractal dimension

TMC Priyanka, A Gowrisankar - Fractals, 2021 - World Scientific
In this paper, the Weyl–Marchaud fractional derivative of various fractal interpolation
functions (FIFs) like linear FIF, quadratic FIF, hidden variable FIF and α-FIF is investigated …

Riemann–Liouville fractional integral of non-affine fractal interpolation function and its fractional operator

TMC Priyanka, A Gowrisankar - The European Physical Journal Special …, 2021 - Springer
This paper mainly investigates the Riemann–Liouville fractional integral of α α-fractal
function and fractional operator of α α-fractal function that maps the given continuous …

Laplace equations on the fractal cubes and Casimir effect

A Khalili Golmankhaneh, SM Nia - The European Physical Journal Special …, 2021 - Springer
In this paper, we have generalized fractal calculus on fractal Cantor cubes. The mass
function on fractal Cantor cubes is defined. Then, we use the mass function to define integral …

Chaotic synchronization and fractal interpolation-based image encryption: exploring event-triggered impulsive control in variable-order fractional lur'e systems

TMC Priyanka, K Udhayakumar, SS Mohanrasu… - Multimedia Tools and …, 2024 - Springer
This paper investigates the event-triggered impulsive synchronization of a variable-order
fractional chaotic Lur'e system with the application of fractal interpolation based image …

Fractal pattern of δ-hydride with stress-state

A Das - Chaos, Solitons & Fractals, 2024 - Elsevier
Fractal dimension of any defect in microstructure is a critical parameter for their geometric
irregularities, pattern of arrangements and morphological attributes. The fractal dimensions …