Modeling the potential energy field caused by mass density distribution with Eton approach

Author:

Alkahtani Badr Saad T.1,Atangana Abdon2

Affiliation:

1. 1Department of mathematics, colleges of sciences, King Saud University, P.O.Box 1142, Riyadh, 11989, Arabia

2. 2Institute for Groundwater Studies, Faculty of natural and Agricultural Sciences, University of the Free State, 9300, Bloemfontein, Africa

Abstract

AbstractA new approach for modeling real world problems called the “Eton Approach” was presented in this paper. The "Eton approach" combines both the concept of the variable order derivative together with Atangana derivative with memory derivative. The Atangana derivative with memory is used to account for the memory and fractional derivative for its filter effect. The approach was used to describe the potential energy field that is caused by a given charge or mass density distribution.We solve the modified model numerically and present supporting numerical simulations.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

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