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

By Abdon Atangana, Dumitru Băleanu, Ahmed Alsaedi. 2016

269 citations recorded by the source corpus.

Abstract In 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.

Subfields: Electronic, Optical and Magnetic Materials, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ebc220c65c84998f067a5615be4983fdcc4cb3db

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In Modeling and Simulation

In Statistical and Nonlinear Physics

Citations in the corpus

The extended Mittag-Leffler function via fractional calculus (2017, background): “Some interesting applications of this function are considered in the study of kinetic equation, the telegraph equations, random walks, Levy flights, supper diffuse transport, complex system, non-equilibrium statistical mechanics and quantum mechanics, interested readers can refer [2, 4, 5, 11, 16, 2”