The damped Helmholtz-Duffing oscillator is a topic of great interest in many different fields of study due to its complex dynamics.By transitioning from conventional continuous differential equations to their fractal ...
The time-delayed fractal Van der Pol–Helmholtz–Duffing(VPHD)oscillator is the subject of this paper,which explores its mechanisms and highlights its stability analysis.While time-delayed technologies are currently g...
In this paper,the local fractional natural decomposition method(LFNDM)is used for solving a local fractional Poisson equation.The local fractional Poisson equation plays a significant role in the study of a potential ...
Princess Nourah bint Abdulrahman University Researchers Supporting Project number(PNURSP2023R17)
The idea of the present article is to look into the nonlinear dynamics and vibration of a damping Duffing-jerk oscillator in fractal space exhibiting the non-perturbative approach.Using a new analytical technique,name...
The authors would like to thank the anonymous referees for their useful comments and valuable suggestions.
In this study,we prove that modified diffusion equations,including the generalized Burgers'equation with variable coefficients,can be derived from the Black-Scholes equation with a time-dependent parameter based on th...
Supported by the National Natural Science Foundation of China under Grant No.51706101;Key Laboratory of Solar Energy Science and Technology Foundation of Jiangsu Province under Grant No.KLSST201704;the Fundamental Research Funds for the Central Universities under Grant No.30917011328
An unsteady model of melting heat transfer in metal foam filled with paraffin is developed and numerically analyzed. In the model, the pore distribution of metal foam is described by Sierpinski fractal. By this fracta...
Supported by the Fundamental Research Funds for the Central Universities under Grant No.2015XKMS074-CUMT
The Etching model on various fractal substrates embedded in two dimensions was investigated by means of kinetic Mento Carlo method in order to determine the relationship between dynamic scaling exponents and fractal p...
Since the fractal cosmology has been created in early universe, therefore their models were mostly isotropic. The majority of previous studies had been based on FRW universe, while in the early universe, the best mode...
Supported by the Hundred Talent Program of the Chinese Academy of Sciences (CAS);the National Natural Science Foundation of China under Grant Nos. 10974208, 11121403, 1083401401, and 91027045
Diffusion-limited aggregation (DLA) assumes that particles perform pure random walk at a finite tem- perature and aggregate when they come close enough and stick together. Although it is well known that DLA in two d...
Supported by National Natural Science Foundation of China under Grant No.10875043;partly by the Shanghai Research Foundation under Grant No.07dz22020
We discuss the Casimir effect for massless scalar fields subject to the Diriehlet boundary conditions on the parallel plates at finite temperature in the presence of one fraetal extra eompactified dimension. We obtain...