Browsing by Author "Al Qurashi, Maysaa' Mohamed"

Now showing 1 - 8 of 8

Citation - WoS: 27
Citation - Scopus: 32
A new iterative algorithm on the time-fractional Fisher equation: Residual power series method
(Sage Publications Ltd, 2017) Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Korpinar, Zeliha; Baleanu, Dumitru; Inc, Mustafa; 56389; Matematik
In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin expansion of the solution. The solutions of present equation are computed in the shape of quickly convergent series with quickly calculable fundamentals using mathematica software package. Explanation of the method is given by graphical consequences and series solutions are made use of to represent our solution. The found consequences show that technique is a power and efficient method in conviction of solution time-fractional Fisher equation.
Citation - WoS: 2
Citation - Scopus: 30
A new method for approximate solutions of some nonlinear equations: Residual power series method
(Sage Publications Ltd, 2016) Inc, Mustafa; Baleanu, Dumitru; Korpinar, Zeliha S.; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Matematik
In this work, a powerful iterative method called residual power series method is introduced to obtain approximate solutions of nonlinear time-dependent generalized Fitzhugh-Nagumo equation with time-dependent coefficients and Sharma-Tasso-Olver equation subjected to certain initial conditions. The consequences show that this method is efficient and convenient, and can be applied to a large sort of problems. The approximate solutions are compared with the known exact solutions.
Citation - WoS: 15
Citation - Scopus: 26
Fractional calculus and application of generalized Struve function
(Springer int Publ Ag, 2016) Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Baleanu, Dumitru; Al Qurashi, Maysaa' Mohamed; 56389; Matematik
A new generalization of Struve function called generalized Galue type Struve function (GTSF) is defined and the integral operators involving Appell's functions, or Horn's function in the kernel is applied on it. The obtained results are expressed in terms of the Fox-Wright function. As an application of newly defined generalized GTSF, we aim at presenting solutions of certain general families of fractional kinetic equations associated with the Galue type generalization of Struve function. The generality of the GTSF will help to find several familiar and novel fractional kinetic equations. The obtained results are general in nature and it is useful to investigate many problems in applied mathematical science.
Citation - WoS: 6
On numerical solutions of time-fraction generalized Hirota Satsuma coupled KdV equation
(int Scientific Research Publications, 2017) Aslan, Ebru Cavlak; Baleanu, Dumitru; Inc, Mustafa; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; 56389; Matematik
In this study, we obtain the approximate soliton solution of the fractional generalized Hirota-Satsuma coupled Kortewegde Vries equation (GHS-cKdV) within the homotopy analysis method (HAM). Numerical results are successfully compared with other solutions obtained by the differential transform method (DTM) and the homotopy perturbation method (HPM). The numerical results indicate that the only few terms are sufficient to get the correct solutions. Also, the results are given by tables and figures. (C) 2017 All rights reserved.
Citation - WoS: 19
Citation - Scopus: 18
On soliton solutions of the Wu-Zhang system
(de Gruyter Open Ltd, 2016) Inc, Mustafa; Baleanu, Dumitru; Kilic, Bulent; Karatas, Esra; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Tchier, Fairouz; 56389; Matematik
In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Citation - WoS: 2
Citation - Scopus: 2
On the Nonlinear Perturbation K(n, m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave
(Hindawi Ltd, 2015) Atangana, Abdon; Baleanu, Dumitru; Baleanu, Dumitru; Al Qurashi, Maysaa' Mohamed; Yang, Xiao-Jun; 56389; Matematik
We investigate a nonlinear wave phenomenon described by the perturbation K(m, n) Rosenau-Hyman equation within the concept of derivative with fractional order. We used the Caputo fractional derivative and we proposed an iteration method in order to find a particular solution of the extended perturbation equation. We proved the stability and the convergence of the suggested method for solving the extended equation without any restriction on (m, n) and also on the perturbations terms. Using the inner product we proved the uniqueness of the special solution. By choosing randomly the fractional orders and m, we presented the numerical solutions.
Citation - WoS: 58
Citation - Scopus: 63
On two fractional differential inclusions
(Springer international Publishing Ag, 2016) Baleanu, Dumitru; Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram; Al Qurashi, Maysaa' Mohamed; 56389; Matematik
We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.
Citation - WoS: 29
Citation - Scopus: 29
Optical solitons of transmission equation of ultra-short optical pulse in parabolic law media with the aid of Backlund transformation
(Elsevier Gmbh, Urban & Fischer verlag, 2017) Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru; Baleanu, Dumitru; Inc, Mustafa; 56389; Matematik
The Backlund transformation is used to obtain optical soliton for a type of the Schrodinger equation. Kink-type and dark-optical soliton solutions are acquired of the Schrodinger equation. It is illustrated that the examined equation is integrable because if an equation has a Backlund transformation it could be integrable. Several constraint conditions for the parameters are derived that establish the existence of the soliton solutions. The numerical simulations supplement the analytical schemes. (C) 2017 Elsevier GmbH. All rights reserved.