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Citation - WoS: 257
Analysis of Time-Fractional Hunter-Saxton Equation: a Model of Neumatic Liquid Crystal
(Sciendo, 2016) Baleanu, Dumitru; Alsaedi, Ahmed; Atangana, Abdon
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.
On coupled systems of time-fractional differential problems by using a new fractional derivative
(Hindawi Publishing Corporation, 2016) Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram
The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact-and convex-valued L-1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.

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