Results 1 to 10 of about 2,294 (185)

Fractal Calculus on Fractal Interpolation Functions [PDF]

Fractal and Fractional, 2021
In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Alireza K. Golmankhaneh, Arulprakash Gowrisankar, Cristina Serpa   +2 more
exaly   +5 more sources

Scale-Free Fractal Interpolation

Fractal and Fractional, 2022
An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
Cristina Maria Păcurar, Vassileios Drakopoulos, María Antonia Navascués   +2 more
exaly   +6 more sources

Enhanced deep learning networks integrated by fractals for air quality index analysis [PDF]

Frontiers in Artificial Intelligence
IntroductionThe Air Quality Index (AQI) provides daily information on the quality of outdoor air and increases with rising air emissions. Accurate AQI analysis and prediction are important for understanding and managing air pollution. This study develops
S. Kala Nandhini, L. Thanga Mariappan
doaj   +2 more sources

A fractal-enhanced deep learning framework for forecasting agricultural production in India [PDF]

Scientific Reports
Forecasting agricultural production in India is highly challenging due to non-stationary dynamics driven by policy factors and climate volatility. This study investigates the effectiveness of the fractal interpolation function (FIF) (with both variable ...
Shamli Sharma, Kuldip Katiyar, Mohammad Sajid   +2 more
doaj   +2 more sources

Optimizing the neural network and iterated function system parameters for fractal approximation using a modified evolutionary algorithm [PDF]

Scientific Reports
Fractal interpolation has gained significant attention due to its ability to model complex, self-similar structures with high precision. However, optimizing the parameters of Iterated Function System (IFS)-based fractal interpolants remains a challenging
Sana Abdulla, K. Mahipal Reddy
doaj   +2 more sources

An Analysis of COVID-19 Spread Based on Fractal Interpolation and Fractal Dimension [PDF]

Chaos, Solitons and Fractals, 2020
Cristina Maria Păcurar, Bogdan-Radu Necula   +1 more
exaly   +2 more sources

Improve Fuzzy Inventory Model of Fractal Interpolation with Vertical Scaling Factor

Science and Technology Indonesia, 2023
The inventory model is used to determine the optimal inventory of a product. In certain cases, parameters in the inventory model are uncertain. Fractal interpolation techniques can be used to overcome parameter with uncertainty.
Eka Susanti, Fitri Maya Puspita, Siti Suzlin Supadi, Evi Yuliza, Ahmad Farhan Ramadhan   +4 more
doaj   +3 more sources

Fractal interpolation-based micro-surface reconstruction method for composite pore walls

Xibei Gongye Daxue Xuebao, 2023
The pore wall morphology of carbon fiber reinforced composite (CFRP) laminates is one of the key factors to determine their service performance. However, due to the direction angle of the material fibers, the original micro surface morphology of the pore
HU Wenlong, LUO Xidong, YANG Yu, LUO Bin, CHENG Hui   +4 more
doaj   +1 more source

Fractal Interpolation Using Harmonic Functions on the Koch Curve

Fractal and Fractional, 2021
The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri, Vasileios Drakopoulos, Song-Min Nam   +2 more
doaj   +1 more source

Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces

Mathematical and Computational Applications, 2023
A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature.
Vijay, Arya Kumar Bedabrata Chand
doaj   +1 more source