Fractional diffusion-advection equation with resetting:An analytical approach  

作　　者：Ashraf M.Tawfik M.A.Abdou 

机构地区：[1]Theoretical Physics Research Group,Physics Department,Faculty of Science,Mansoura University,Mansoura 35516,Egypt [2]Physics Department,College of Science,University of Bisha,PO Box 344,Bisha 61922,Kingdom of Saudi Arabia

出　　处：《Journal of Ocean Engineering and Science》2024年第3期216-221,共6页海洋工程与科学（英文）

摘　　要：In this article,the fractional diffusion-advection equation with resetting is introduced to promote the theory of anomalous transport.The fractional equation describes a particle’s non-diffusive motion performing a random walk and is reset to its initial position.An analytical method is proposed to obtain the solution of the fractional equation with resetting via Fourier and Laplace transformations.We study the influence of the fractional-order and resetting rate on the probability distributions,and the mean square displacements are analyzed for different cases of anomalous regimes.

关 键 词：Fractional calculus Anomalous diffusion Stochastic resetting 

分 类 号：O175[理学—数学]