Dynamical properties of a meminductor chaotic system with fractal–fractional power law operator

P Li, L Han, C Xu, X Peng, M ur Rahman, S Shi - Chaos, Solitons & Fractals, 2023 - Elsevier
Purpose: This study aims to explore the intricate and concealed chaotic structures of
meminductor systems and their applications in applied sciences by utilizing fractal fractional …

On the generalized variational principle of the fractal Gardner equation

KJ Wang - Fractals, 2023 - World Scientific
The fractal calculus has gained more widespread attention in the last years. The fractal
variational principle plays a major role in the fractal travelling wave theory of the fractal …

A new fractal model of the convective-radiative fins with temperature-dependent thermal conductivity

KJ Wang, F Shi - Thermal science, 2023 - doiserbia.nb.rs
In this paper, the convective-radiative fins of rectangular profile with temperature-dependent
thermal conductivity are considered. By studying the conventional heat transfer equation, its …

Generalized variational structure of the fractal modified KdV–Zakharov–Kuznetsov equation

KJ Wang, P Xu - Fractals, 2023 - World Scientific
A fractal modification of the modified KdV–Zakharov–Kuznetsov equation is suggested and
its fractal generalized variational structure is established by means of the semi-inverse …

A novel fractal interpolation function algorithm for fractal dimension estimation and coastline geometry reconstruction: a case study of the coastline of Kingdom of …

A Husain, S Gumma, M Sajid, J Reddy… - The European Physical …, 2024 - Springer
Fractal dimension represents the geometric irregularity of an object with respect to the
underlying space and is used for several characterizations. The divider method and the box …

A fractal modification of the unsteady Korteweg–de Vries model and its generalized fractal variational principle and diverse exact solutions

KJ Wang - Fractals, 2022 - World Scientific
Under this work, we derive a new fractal unsteady Korteweg–de Vries model which can
model the shallow water with the non-smooth boundary. The generalized fractal variational …

Nonlocal fractal neutrons transport equation and its implications in nuclear engineering

RA El-Nabulsi, W Anukool - Acta Mechanica, 2022 - Springer
In this study, the nonlocal fractal neutrons transport equation in fractal dimensions (α, β) is
constructed based on the concepts of fractal derivative and a spatially symmetric kernel …

Casimir effect associated with fractional Laplacian and fractal dimensions

RA El-Nabulsi, W Anukool - Physica E: Low-Dimensional Systems and …, 2023 - Elsevier
Casimir effect predicts that two parallel flat neutral plates are attracted to each other due to
quantum fluctuations of the electromagnetic field. In this communication, we study Casimir …

Vlasov equation, waves and dispersion relations in fractal dimensions: Landau dam** and the toroidal ion temperature gradient instability problem

RA El-Nabulsi, W Anukool - Waves in Random and Complex …, 2022 - Taylor & Francis
In this study, we have used the concept of 'product-like fractal measure'introduced by Li and
Ostoja-Starzewski in their formulation of anisotropic and elastic media to introduce Vlasov …

A generalized nonlinear cubic-quartic Schrodinger equation and its implications in quantum wire

RA El-Nabulsi, W Anukool - The European Physical Journal B, 2023 - Springer
In this communication, we have constructed a generalized nonlinear Schrödinger equation
based on nonlocal quantum momentum square operator. Single and bright singular combo …