supported by National Natural Science Foundation of China (Grant Nos. 12101509, 12171283, 12171025 and NSAF-U1930402);the Science Foundation Program for Distinguished Young Scholars of Shandong (Overseas) (Grant No. 2022HWYQ-045)。
Fractional initial-value problems(IVPs) and time-fractional initial-boundary value problems(IBVPs), each with a Caputo temporal derivative of order α ∈(0, 1), are considered. An averaged variant of the well-known L1...
Supported by the National Natural Science Foundation of China under Grant No 11626047;the Foundation for Young Key Teachers of Chengdu University of Technology under Grant No KYGG201414
To describe the energy-dependent characteristics of the reaction-subdiffusion process, we analyze the simple reaction A--→B under subdiffsion with waiting time depending on the preceding jump length, and derive the c...
This work is supported by the National Natural Science Foundation of China (No.21225421 and No.21474099), the National Basic Research Program of China (No.2014CB845605).
The dynamics of tracers in crowded matrix is of interest in various areas of physics, such as the diffusion of proteins in living cells. By using two-dimensional (2D) Langevin dynamics simulations, we investigate th...
Supported by the National Natural Science Foundation of China under Grant Nos 11274255 and 11305132;the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grand No 20136203110001;the Natural Science Foundation of Gansu Province under Grant No 2011GS04358;the Creation of Science and Technology of Northwest Normal University under Grant Nos NWNU-KJCXGC-03-48 and NWNU-LKQN-12-12
Considering the discrete nonlinear Schrodinger model with dipole-dipole interactions (DDIs), we comparatively and numerically study the effects of contact interaction, DDI and disorder on the properties of diffusion...
supported by the National Natural Science Foundation of China(Grant No.21153002);the Fundamental Research Funds for the Central Universities of China(Grant No.2013zzts151)
Three-dimensional (3D) Fick's diffusion equation and fractional diffusion equation are solved for different reflecting boundaries. We use the continuous time random walk model (CTRW) to investigate the time-avera...
Supported by the National Natural Science Foundation of China under Grant Nos.10602041 and 10972170
The method of matrix continued fraction is used to investigate stochastic resonance (SR) in the biasedsubdiffusive Smoluchowski system within linear response range.Numerical results of linear dynamic susceptibility an...
supported by the United States National Science Fundation Career Award (Grant No. DMS-0449204)
Advances in nanotechnology enable scientists for the first time to study biological pro-cesses on a nanoscale molecule-by-molecule basis.They also raise challenges and opportunities for statisticians and applied proba...