Time-fractional diffusion model on dynamical effect of dendritic cells on HIV pathogenesis

2018 ◽  
Vol 18 (1) ◽  
pp. 193-212 ◽  
Author(s):  
Shikaa Samuel ◽  
Vinod Gill
Keyword(s):  
Dendritic Cells ◽  
Diffusion Model ◽  
Fractional Diffusion ◽  
Dynamical Effect ◽  
Hiv Pathogenesis

scholarly journals Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 781-784 ◽  
Author(s):  
Zhi-Jun Meng ◽  
Yao-Ming Zhou ◽  
Huan-Qing Wang
Keyword(s):  
Heat Transfer ◽  
Diffusion Equation ◽  
Diffusion Model ◽  
Fractional Diffusion ◽  
Cantor Sets ◽  
Fractional Diffusion Equation ◽  
Iteration Algorithm ◽  
Variational Iteration

This paper addresses a new application of the local fractional variational iteration algorithm III to solve the local fractional diffusion equation defined on Cantor sets associated with non-differentiable heat transfer.

scholarly journals A physically-based fractional diffusion model for semi-dilute suspensions of rods in a Newtonian fluid

2017 ◽  
Vol 51 ◽  
pp. 58-67 ◽  
Author(s):  
Enrique Nadal ◽  
Jose Vicente Aguado ◽  
Emmanuelle Abisset-Chavanne ◽  
Francisco Chinesta ◽  
Roland Keunings ◽  
...  
Keyword(s):  
Diffusion Model ◽  
Newtonian Fluid ◽  
Fractional Diffusion ◽  
Physically Based ◽  
Dilute Suspensions

Modelling infiltration by means of a nonlinear fractional diffusion model

2006 ◽  
Vol 39 (18) ◽  
pp. 4104-4110 ◽  
Author(s):  
E Gerolymatou ◽  
I Vardoulakis ◽  
R Hilfer
Keyword(s):  
Diffusion Model ◽  
Fractional Diffusion

scholarly journals Leaky-box approximation to the fractional diffusion model

2013 ◽  
Vol 409 ◽  
pp. 012057 ◽  
Author(s):  
V V Uchaikin ◽  
R T Sibatov ◽  
V V Saenko
Keyword(s):  
Diffusion Model ◽  
Fractional Diffusion

scholarly journals Discrete fractional diffusion model with two memory terms

2015 ◽  
Vol 19 (4) ◽  
pp. 1177-1181
Author(s):  
Yan-Mei Qin ◽  
Hua Kong ◽  
Kai-Teng Wu ◽  
Xiao-Ming Zhu
Keyword(s):  
Numerical Simulation ◽  
Fractional Calculus ◽  
Diffusion Model ◽  
Discrete Time ◽  
Anomalous Diffusion ◽  
Fractional Diffusion ◽  
Fractional Difference ◽  
Linear Evolution ◽  
Time Domains ◽  
Diffusion Behaviors

Fractional calculus can always exactly describe anomalous diffusion. Recently the discrete fractional difference is becoming popular due to the depiction of non-linear evolution on discrete time domains. This paper proposes a diffusion model with two terms of discrete fractional order. The numerical simulation is given to reveal various diffusion behaviors.

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