Browsing by Author "Alsharif, Abdullah M."

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Citation Count: Asjad, Muhammad Imran;...et.al. (2022). "Bioconvection Flow of MHD Viscous Nanofluid in the Presence of Chemical Reaction and Activation Energy", Mathematical Problems in Engineering, Vol.2022.
Bioconvection Flow of MHD Viscous Nanofluid in the Presence of Chemical Reaction and Activation Energy
(2022) Asjad, Muhammad Imran; Zahid, Muhammad; Jarad, Fahd; Alsharif, Abdullah M.; 234808
Enhancement of heat transfer due to stretching sheets can be appropriately controlled by the movement of the nanofluids. The concentration and settling of the nanoparticles in the viscous MHD fluid and bioconvection are addressed. In this scenario, the fluid flow occurring in the presence of a normal and uniform magnetic field, thermal radiation, and chemical reaction is taken into account. For the two-dimensional flow with heat and mass transfer, five dependent variables and three independent variables constitute the system of partial differential equations. For this purpose, similarity functions are involved to convert these equations to corresponding ODEs. Then, the Runge-Kutta method with shooting technique is used to evaluate the required findings with the utilization of MATLAB script. The fluid velocity becomes slow against the strength of the magnetic parameter. The temperature rises with the parameter of Brownian motion and thermophoresis. The bioconvection Lewis number diminishes the velocity field. Compared with the existing literature, the results show satisfactory congruences.
Citation Count: Al Qurashi, Maysaa;...et.al. (2022). "Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory", AIMS Mathematics, Vol.7, No.7, pp. 12587-12619.
Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory
(2022) Al Qurashi, Maysaa; Rashid, Saima; Sultana, Sobia; Jarad, Fahd; Alsharif, Abdullah M.; 234808
In this research, the ¯q-homotopy analysis transform method (¯q-HATM) is employed to identify fractional-order Whitham–Broer–Kaup equation (WBKE) solutions. The WBKE is extensively employed to examine tsunami waves. With the aid of Caputo and Atangana-Baleanu fractional derivative operators, to obtain the analytical findings of WBKE, the predicted algorithm employs a combination of ¯q-HAM and the Aboodh transform. The fractional operators are applied in this work to show how important they are in generalizing the frameworks connected with kernels of singularity and non-singularity. To demonstrate the applicability of the suggested methodology, various relevant problems are solved. Graphical and tabular results are used to display and assess the findings of the suggested approach. In addition, the findings of our recommended approach were analyzed in relation to existing methods. The projected approach has fewer processing requirements and a better accuracy rate. Ultimately, the obtained results reveal that the improved strategy is both trustworthy and meticulous when it comes to assessing the influence of nonlinear systems of both integer and fractional order.
Citation Count: Al-Qurashi, Maysaa...et al. (2022). "New computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition method", AIMS Mathematics, Vol. 7, No. 2, pp. 2044-2060.
New computations for the two-mode version of the fractional zakharov-kuznetsov model in plasma fluid by means of the shehu decomposition method
(2022) Al-Qurashi, Maysaa; Rashid, Saima; Jarad, Fahd; Tahir, Madeeha; Alsharif, Abdullah M.; 234808
In this research, the Shehu transform is coupled with the Adomian decomposition method for obtaining the exact-approximate solution of the plasma fluid physical model, known as the Zakharov-Kuznetsov equation (briefly, ZKE) having a fractional order in the Caputo sense. The Laplace and Sumudu transforms have been refined into the Shehu transform. The action of weakly nonlinear ion acoustic waves in a plasma carrying cold ions and hot isothermal electrons is investigated in this study. Important fractional derivative notions are discussed in the context of Caputo. The Shehu decomposition method (SDM), a robust research methodology, is effectively implemented to generate the solution for the ZKEs. A series of Adomian components converge to the exact solution of the assigned task, demonstrating the solution of the suggested technique. Furthermore, the outcomes of this technique have generated important associations with the precise solutions to the problems being researched. Illustrative examples highlight the validity of the current process. The usefulness of the technique is reinforced via graphical and tabular illustrations as well as statistics theory. © 2022 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0).