Wavelets and stochastic theory: Past and future

M Milovanović, BM Tomić, N Saulig - Chaos, Solitons & Fractals, 2023 - Elsevier
In the paper, authors report on the interdisciplinary and extremely complex link between
wavelets and stochastic processes. An insight into the history of wavelets has been provided …

[PDF][PDF] An efficient numerical scheme for biological models in the frame of Bernoulli wavelets

F Li, HM Baskonus, S Kumbinarasaiah… - … Model Eng Sci, 2023 - cdn.techscience.cn
This article considers three types of biological systems: the dengue fever disease model, the
COVID-19 virus model, and the transmission of Tuberculosis model. The new technique of …

A chaos study of fractal–fractional predator–prey model of mathematical ecology

A Kumar, S Kumar, S Momani, S Hadid - Mathematics and Computers in …, 2024 - Elsevier
This paper presents a mathematical model to examine the effects of the coexistence of
predators on single prey. Based on fractal–fractional Atangana–Baleanu (AB) and Caputo …

Application of Caputo fractional operator to analyse the fractional model of Brain Tumour via modified technique

A Prakash, L Mohan - International Journal of Applied and Computational …, 2023 - Springer
In this article, the fractional model of brain tumour is investigated. The numerical solution of
this model is obtained by the modified technique called as Natural transform homotopy …

Nonparametric estimation for uncertain fractional differential equations

L He, Y Zhu - Chaos, Solitons & Fractals, 2024 - Elsevier
After uncertainty theory was established, it has become a new branch of mathematics and
been applied to describing the indeterministic phenomena as an uncertain dynamic system …

[HTML][HTML] Bernoulli polynomial based wavelets method for solving chaotic behaviour of financial model

BST Alkahtani, K Agrawal, S Kumar, SS Alzaid - Results in Physics, 2023 - Elsevier
This paper presents an algorithm for solving systems of non integer financial chaotic model.
The Bernoulli wavelets function approximation applies to fractional order financial systems …

A Numerical Technique Based on Bernoulli Wavelet Operational Matrices for Solving a Class of Fractional Order Differential Equations

HM Arafa, MA Ramadan, N Althobaiti - Fractal and Fractional, 2023 - mdpi.com
In this paper, we present an efficient, new, and simple programmable method for finding
approximate solutions to fractional differential equations based on Bernoulli wavelet …

[HTML][HTML] A numerical study on fractional order financial system with chaotic and Lyapunov stability analysis

K Agrawal, S Kumar, BST Alkahtani, SS Alzaid - Results in Physics, 2024 - Elsevier
In the last few decades, academic research has focused more on financial problems and
poverty levels. These are among the two major challenges of the modern world today. To …

[PDF][PDF] A robust numerical study on modified Lumpy skin disease model

P Kumar, S Kumar, BST Alkahtani, SS Alzaid - AIMS Mathematics, 2024 - aimspress.com
This paper was to present a mathematical model of non-integer order and demonstrated the
detrimental consequences of lumpy skin disease (LSD). The LSD model included primarily …

Cross diffusion effects on MHD double diffusive viscous flow through Hermite wavelet method

SN Nagappanavar, KR Raghunatha… - Journal of Umm Al-Qura …, 2024 - Springer
Double-diffusive convection is a form of fluid flow that occurs when two processes of
molecular diffusion are active in a fluid at the same time, causing instabilities and also …