Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal-Reference-Cited by-同舟云学术

Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal

Published:2016-01-01 Issue:1 Volume:14 Page:145-149
ISSN:2391-5471
Container-title:Open Physics
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Author:

Atangana Abdon¹,Baleanu Dumitru²³,Alsaedi Ahmed⁴

Affiliation:

1. 1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300, Bloemfontein, Africa

2. 2Institute of Space Sciences, Magurele, Bucharest, Romania

3. 3Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankara University, 06530 Ankara, Turkey

4. 4Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Arabia

Abstract

AbstractIn this work, a theoretical study of diffusion of neumatic liquid crystals was done using the concept of fractional order derivative. This version of fractional derivative is very easy to handle and obey to almost all the properties satisfied by the conventional Newtonian concept of derivative. The mathematical equation underpinning this physical phenomenon was solved analytically via the so-called homotopy decomposition method. In order to show the accuracy of this iteration method, we constructed a Hilbert space in which we proved its stability for the time-fractional Hunder-Saxton equation.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2016-0010/pdf

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