A model for describing the velocity of a particle in Brownian motion by Robotnov function based fractional operator

Kumar, Sunil and Ghosh, Surath and Lotayif, Mansour S.M and Samet, Samet (2020) A model for describing the velocity of a particle in Brownian motion by Robotnov function based fractional operator. A model for describing the velocity of a particle in Brownian motion by Robotnov function based fractional operator, 61 (12). pp. 1435-1449. ISSN 1110-0168

Text
A-model-for-describing-the-velocity-of-a-particle-in-Bro_2020_Alexandria-Eng.pdf
Restricted to Repository staff only
Download (1MB)

Official URL: https://doi.org/10.1016/j.aej.2020.04.019

Abstract

This endeavour provides a new instance of understanding the velocity of a particle in Brownian motion, using the Fokker-Plank equation. Our treatment is based on the new mathematical tool invoked by Yang-Abdel-Aty-Cattani (YAC) to solve the fractional derivative on Fokker-Plank equation. The HPTM and RPSMs, are used to obtain the solution in terms of Prabhakar function. Numerical examples to extend these ideas and to establish the capability and truthfulness of the proposed method, which makes use of YAC-fractional derivative, is also briefly sketched

Item Type:	Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Civil Engineering and the Environment
Depositing User:	Admin Repository UIBS
Date Deposited:	20 Jul 2022 07:32
Last Modified:	20 Jul 2022 07:32
URI:	https://repository.uniba.ac.id/id/eprint/368

Actions (login required)

View Item