[HTML][HTML] Analytical analysis and bifurcation of pine wilt dynamical transmission with host vector and nonlinear incidence using sustainable fractional approach

A Ahmad, M Farman, PA Naik, K Faiz, A Ghaffar… - … Differential Equations in …, 2024 - Elsevier
To study the dynamical system, it is necessary to formulate a mathematical model to
comprehend the dynamics of the diseases that are prevalent around the world by using …

[BOOK][B] FRACTAL CALCULUS AND ITS APPLICATIONS: Fα-Calculus

AK Golmankhaneh - 2023 - World Scientific
Many phenomena in physics and engineering have fractal structures; then analysis on them
has a vital role in the application. In this chapter, we present some frameworks of analysis on …

[HTML][HTML] A fractal–fractional COVID-19 model with a negative impact of quarantine on the diabetic patients

H Khan, J Alzabut, O Tunç, MKA Kaabar - Results in Control and …, 2023 - Elsevier
In this article, we consider a Covid-19 model for a population involving diabetics as a
subclass in the fractal–fractional (FF) sense of derivative. The study includes: existence …

Fractal calculus on fractal interpolation functions

A Gowrisankar, A Khalili Golmankhaneh, C Serpa - Fractal and Fractional, 2021 - mdpi.com
In this paper, fractal calculus, which is called F α-calculus, is reviewed. Fractal calculus is
implemented on fractal interpolation functions and Weierstrass functions, which may be non …

Noise analysis of electrical circuits on fractal set

R Banchuin - COMPEL-The international journal for computation and …, 2022 - emerald.com
Purpose The purpose of this study is to originally present noise analysis of electrical circuits
defined on fractal set. Design/methodology/approach The fractal integrodifferential …

Modeling tumor growth using fractal calculus: Insights into tumor dynamics

AK Golmankhaneh, S Tunç, AM Schlichtinger… - Biosystems, 2024 - Elsevier
Important concepts like fractal calculus and fractal analysis, the sum of squared residuals,
and Aikaike's information criterion must be thoroughly understood in order to correctly fit …

Einstein field equations extended to fractal manifolds: A fractal perspective

AK Golmankhaneh, PET Jørgensen… - Journal of Geometry and …, 2024 - Elsevier
This paper provides a framework for understanding and analyzing non-differentiable fractal
manifolds. By introducing specialized mathematical concepts and equations, such as the …

Non-standard analysis for fractal calculus

A Khalili Golmankhaneh, K Welch, C Serpa… - The Journal of …, 2023 - Springer
In this paper, we summarize fractal calculus on fractal curves and nonstandard analysis.
Using nonstandard analysis which includes hyperreal and hyperinteger numbers, we define …

Fractal logistic equation

A Khalili Golmankhaneh, C Cattani - Fractal and Fractional, 2019 - mdpi.com
In this paper, we give difference equations on fractal sets and their corresponding fractal
differential equations. An analogue of the classical Euler method in fractal calculus is …

[PDF][PDF] On stability of a class of second alpha-order fractal differential equations

C Tunç, AK Golmankhaneh, U Branch - AIMS math, 2020 - researchgate.net
In this paper, we give a review of fractal calculus which is an expansion of standard calculus.
Fractal calculus is applied for functions that are not differentiable or integrable on totally …