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
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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 |
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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 |
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