Browsing by Author "Alsaedi, Ahmed"

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Citation Count: El-Ajou, A...et al. (2015). A novel expansion iterative method for solving linear partial differential equations of fractional order. Applied Mathematics&Computation, 257, 119-133. http://dx.doi.org/10.1016/j.amc.2014.12.121
A novel expansion iterative method for solving linear partial differential equations of fractional order
(Elsevier Science, 2015) El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed
In this manuscript, we implement a relatively new analytic iterative technique for solving time-space-fractional linear partial differential equations subject to given constraints conditions based on the generalized Taylor series formula. The solution methodology is based on generating the multiple fractional power series expansion solution in the form of a rapidly convergent series with minimum size of calculations. This method can be used as an alternative to obtain analytic solutions of different types of fractional linear partial differential equations applied in mathematics, physics, and engineering. Some numerical test applications were analyzed to illustrate the procedure and to confirm the performance of the proposed method in order to show its potentiality, generality, and accuracy for solving such equations with different constraints conditions. Numerical results coupled with graphical representations explicitly reveal the complete reliability and efficiency of the suggested algorithm.
Citation Count: Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed, "Analysis of time-fractional Hunter-Saxton equation: a model of neumatic liquid crystal", Open Physics, Vol. 14, No. 1, pp. 145-149, (2016).
Analysis of time-fractional Hunter-Saxton equation: a model of neumatic liquid crystal
(Sciendo, 2016) Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed; 56389
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.
Citation Count: Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed, "New properties of conformable derivative", Open Mathematics, Vol. 13, pp. 889-898, (2015).
New properties of conformable derivative
(De Gruyter Poland SP Zoo, 2019) Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed; 56389
Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been introduced.
Citation Count: Baleanu, D...et al. (2015). On a time-fractional integrodifferential equation via three-point boundary value conditions. Mathematical Problems In Engineering. http://dx.doi.org/10.1155/2015/785738
On a time-fractional integrodifferential equation via three-point boundary value conditions
(Hindawi Publishing Corporation, 2015) Baleanu, Dumitru; Rezapour, Shahram; Etemad, Sina; Alsaedi, Ahmed
The existence and the uniqueness theorems play a crucial role prior to finding the numerical solutions of the fractional differential equations describing the models corresponding to the real world applications. In this paper, we study the existence of solutions for a time-fractional integrodifferential equation via three-point boundary value conditions.
Citation Count: Alsaedi, Ahmed...et al. (2016). "On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative", Journal of Function Spaces, Vol. 2016.
On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative
(2016) Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram; 56389
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 L1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.
Citation Count: Alsaedi, Ahmed...et.al. (2016). "On coupled systems of time-fractional differential problems by using a new fractional derivative", Journal of Function Spaces, pp.1-14.
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; 56389
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.