A variational principle for a fractal nano/microelectromechanical (N/MEMS) system

CH He - International Journal of Numerical Methods for Heat & …, 2023 - emerald.com
Purpose The variational principle views a complex problem in an energy way, it gives good
physical understanding of an iteration method, and the variational-based numerical methods …

A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment

S Kumar, A Kumar, B Samet, JF Gómez-Aguilar… - Chaos, Solitons & …, 2020 - Elsevier
A tumor is most dangerous disease of medical science which is a mass or lumps of tissue
that's formed by an accumulation of abnormal cells. A famous fractional tumor-immune …

A study on fractional host–parasitoid population dynamical model to describe insect species

S Kumar, A Kumar, B Samet… - Numerical Methods for …, 2021 - Wiley Online Library
The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …

[HTML][HTML] A new generalized definition of fractional derivative with non-singular kernel

K Hattaf - Computation, 2020 - mdpi.com
This paper proposes a new definition of fractional derivative with non-singular kernel in the
sense of Caputo which generalizes various forms existing in the literature. Furthermore, the …

Mathematical model for spreading of COVID‐19 virus with the Mittag–Leffler kernel

K Logeswari, C Ravichandran… - Numerical Methods for …, 2024 - Wiley Online Library
In the Nidovirales order of the Coronaviridae family, where the coronavirus (crown‐like
spikes on the surface of the virus) causing severe infections like acute lung injury and acute …

Fractional model of COVID-19 applied to Galicia, Spain and Portugal

F Ndaïrou, I Area, JJ Nieto, CJ Silva… - Chaos, Solitons & …, 2021 - Elsevier
A fractional compartmental mathematical model for the spread of the COVID-19 disease is
proposed. Special focus has been done on the transmissibility of super-spreaders …

Mathematical modeling of COVID-19 pandemic in India using Caputo-Fabrizio fractional derivative

P Pandey, JF Gómez-Aguilar, MKA Kaabar… - Computers in biology …, 2022 - Elsevier
The range of effectiveness of the novel corona virus, known as COVID-19, has been
continuously spread worldwide with the severity of associated disease and effective …

He's frequency formulation for fractal nonlinear oscillator arising in a microgravity space

KL Wang - Numerical Methods for Partial Differential Equations, 2021 - Wiley Online Library
At a microgravity condition, a spaceflight might be subject to a microgravity‐induced
vibration. There is no theory so far to study the effect of microgravity on the vibration …

A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

S Kumar, S Ghosh, R Kumar… - Numerical Methods for …, 2021 - Wiley Online Library
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …

The fractional complex transform: A novel approach to the time-fractional Schrödinger equation

QT Ain, JH He, N Anjum, M Ali - Fractals, 2020 - World Scientific
This paper presents a thorough study of a time-dependent nonlinear Schrödinger (NLS)
differential equation with a time-fractional derivative. The fractional time complex transform is …