Fractional diffusion-advection equation with resetting:An analytical approach

作     者：Ashraf M.Tawfik M.A.Abdou 

作者机构：Theoretical Physics Research GroupPhysics DepartmentFaculty of ScienceMansoura UniversityMansoura 35516Egypt Physics DepartmentCollege of ScienceUniversity of BishaPO Box 344Bisha 61922Kingdom of Saudi Arabia 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2024年第9卷第3期

页      面：216-221页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Fractional calculus Anomalous diffusion Stochastic resetting 

摘      要：In this article,the fractional diffusion-advection equation with resetting is introduced to promote the theory of anomalous *** fractional equation describes a particle’s non-diffusive motion performing a random walk and is reset to its initial *** analytical method is proposed to obtain the solution of the fractional equation with resetting via Fourier and Laplace *** 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.