Results 11 to 20 of about 317,311 (293)

Fractal Calculus Facilitates Rethinking ‘Hard Problems’: A New Research Paradigm

Fractal and Fractional
This paper introduces a non-standard research technique to clarify how complex phenomena, such as those that are abundantly present in human physiology, can be faithfully described using fractal dynamical models with and without stochastic forces.
Bruce J. West
doaj   +2 more sources

On new systems of rabies virus using vaccination variable with modification [PDF]

MethodsX
Usually, a compartmental epidemiological modeling such as the SIR (Susceptible-Infectious-Recovered) or SEIR (Susceptible-Exposed-Infectious-Recovered) model must be modified in order to include a vaccine element in a mathematical representation of ...
Ibtehal Alazman
doaj   +2 more sources

Assessing the global dynamics of Nipah infection under vaccination and treatment: A novel computational modeling approach. [PDF]

PLoS ONE
In biology and life sciences, fractal theory and fractional calculus have significant applications in simulating and understanding complex problems. In this paper, a compartmental model employing Caputo-type fractional and fractal-fractional operators is
Fang Yu, Muhammad Younas Khan, Muhammad Bilal Riaz, Saif Ullah, Muhammad Farooq   +4 more
doaj   +2 more sources

Calculus in Non-Integer-Dimensional Space: Tool for Fractal Physics

Fractal and Fractional
Integration in non-integer-dimensional spaces (NIDS) is actively used in quantum field theory, statistical physics, and fractal media physics. The integration over the entire momentum space with non-integer dimensions was first proposed by Wilson in 1973
Vasily E. Tarasov
doaj   +2 more sources

Economic models involving time fractal [PDF]

Mathematics and Modeling in Finance, 2021
In this article, the price adjustment equation has been proposed and studied in the frame of fractal calculus which plays an important role in market equilibrium.
Alireza Khalili Golmankhaneh, Karmina K. Ali, Resat Yilmazer, Mohammed K. A. Kaabar   +3 more
doaj   +1 more source

Tsallis entropy on fractal sets

Journal of Taibah University for Science, 2021
In this article, we review fractal calculus ( $ F^{\alpha } $ -calculus) and define generalized Tsallis entropy on the fractal sets which is called fractal Tsallis entropy.
Alireza Khalili Golmankhaneh
doaj   +1 more source

On the Variable Order Fractional Calculus Characterization for the Hidden Variable Fractal Interpolation Function

Fractal and Fractional, 2022
In this study, the variable order fractional calculus of the hidden variable fractal interpolation function is explored. It extends the constant order fractional calculus to the case of variable order. The Riemann–Liouville and the Weyl–Marchaud variable
Valarmathi Raja, Arulprakash Gowrisankar
doaj   +1 more source

THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES [PDF]

Fractals, 2021
In this paper, we investigate partial integrals and partial derivatives of bivariate fractal interpolation functions (FIFs). We also prove that the mixed Riemann–Liouville fractional integral and derivative of order [Formula: see text], of bivariate FIFs are again bivariate interpolation functions corresponding to some iterated function system (IFS ...
SUBHASH CHANDRA, SYED ABBAS
openaire   +3 more sources

Fractal Derivatives and Singularity Analysis of Frequency—Depth Clusters of Earthquakes along Converging Plate Boundaries

Fractal and Fractional, 2023
Fractional calculus (FC) has recently received increasing attention due to its applications in many fields involving complex and nonlinear systems. However, one of the key challenges in using FC to deal with fractal or multifractal phenomena is how to ...
Qiuming Cheng
doaj   +1 more source

Simple Fractal Calculus from Fractal Arithmetic [PDF]

Reports on Mathematical Physics, 2018
published version; modified ...
Aerts, Diederik, Czachor, Marek, Kuna, M.   +2 more
openaire   +3 more sources