Yazar "Siddique, Imran" seçeneğine göre listele

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    Analysis of blood liquor model via nonlocal and singular constant proportional Caputo hybrid differential operator
    (Wiley, 2023) Siddique, Imran; Akgul, Ali
    In this study, a physical scheme called the blood liquor absorption model has been examined in its fractional (non-integer) edict form. The constant proportional Caputo (CPC) hybrid fractional operator with singular and nonlocal kernel has been used to fractionalize the blood alcohol model. The logical solutions of the absorptions of liquor in stomach S(t) and the absorptions of liquor in the blood B(t) have been explored by using the Laplace transform technique and are stated in the forms of the generalized G-functions G(a, b, c)(center dot) and the bivariate Mittage-Leffler functions. Further, we present a detailed analysis including numerical explanation and stability analysis.
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    Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow
    (Nature Portfolio, 2022) Siddique, Imran; Nadeem, Muhammad; Khan, Ilyas; Jamil, Raja Noshad; Shamseldin, Mohamed A.; Akgul, Ali
    In an uncertain atmosphere, the magnetohydrodynamics (MHD) flow in three principal flows of the third grade fluid across two parallel plates is presented. Fuzzy differential equations are constructed by manipulating dimensionless differential equations. The prime purpose of the current article is to use a semi-analytical approach fuzzy-based Adomian decomposition method to achieve numerical results for nonlinear FDEs with fuzzy boundary conditions. Triangular fuzzy numbers are used in fuzzy BCs with help of alpha-cut approach. This strategy is linked to the membership function. In a graphic and tabular depiction, the effect of a and other constraints on fuzzy velocity profiles is explored. The current findings are in good agreement with their previous numerical and analytical results in a crisp environment.
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    Analysis of MHD Couette flow by fractal-fractional differential operators
    (Pergamon-Elsevier Science Ltd, 2021) Akgul, Ali; Siddique, Imran
    In this paper, an analysis is carried out to study the MHD Couette flow (flow between two parallel plates such that the upper plate is moving with constant velocity while the lower plate is at rest) for an incompressible viscous fluid under isothermal conditions. The governing equations are developed from the problem, formulated with the recently presented fractal-fractional operators in Riemann-Liouville sense with power law, exponential decay and the Mittag-Leffler law kernels. For each operator, we present a comprehensive analysis including, the numerical solutions, stability analysis and error analysis. We apply very accurate method to get the desired results. We demonstrate the numerical simulations to prove the efficiency of the proposed method. (c) 2021 Elsevier Ltd. All rights reserved.
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    Analysis of MHD generalized first problem of Stokes' in view of local and non-local fractal fractional differential operators
    (Pergamon-Elsevier Science Ltd, 2020) Siddique, Imran; Akgul, Ali
    In this work, we investigate the unsteady MHD generalized first problem of Stokes' for an incompressible viscous fluid under isothermal conditions. The developed governing equations for the problem are formulated with the newly introduced fractal fractional operators with power law, exponential decay law and the Mittag-Leffler law kernels. For every operator, we give a point by point examination including, numerical arrangement and stability investigation. Likewise, we present some numerical recreation . (c) 2020 Elsevier Ltd. All rights reserved.
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    Applications of Magnetohydrodynamic Couple Stress Fluid Flow between Two Parallel Plates with Three Different Kernels
    (Hindawi Ltd, 2021) Siddique, Imran; Akgul, Ali; Kahsay, Hafte Amsalu; Tsegay, Teklay Hailay; Wubneh, Kahsay Godifey
    In this paper, we investigate the implementations of newly introduced nonlocal differential operators as convolution of power law, exponential decay law, and the generalized Mittag-Leffler law with fractal derivative in fluid dynamics. The new operators are referred as fractal-fractional differential operators. The governing equations for the problem are constructed with the fractal-fractional differential operators. We present the stability analysis and the error analysis.
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    Attribution of Multi-slips and Bioconvection for Micropolar Nanofluids Transpiration Through Porous Medium over an Extending Sheet with PST and PHF Conditions
    (Springer, 2021) Abdal, Sohaib; Habib, Usama; Siddique, Imran; Akgül, Ali; Ali, Bagh
    In order to cope with the rising thermal imbalances in important technological activities, efficient heat transfer attracts the attention of this work. An exploration for the multi-slip effects pertaining to micropolar-based nanofluid transportation through a porous medium in the presence of two thermal boundaries prescribed surface temperature and prescribed heat flux. The material and energy transportation takes place over an extending sheet. Arrhenius activation energy and thermal radiation are considered whereas a magnetic field of uniform strength acts normally to the sheet. Bio-convection is peculiar phenomena to avoid the possible settling of nano-entities. Moreover, the impact for three cases of mass transpiration (injection fw> 0 , impermeable wall fw= 0 , suction fw< 0) are taken into account. The fundamental formulation has developed a system of partial differential equations. With the help of similarity transformation, the leading equations are transmuted into ordinary differential equations. The fourth-order Runge–Kutta method with shooting techniques is employed to attain the numerical solutions. The impacts of physical parameters are displayed with the help of tables and graphs for two cases of thermal boundaries. The buoyancy ratio parameters Nr and bio convection Raleigh number decelerate the flow. The parameter of thermophoresis and Brownian motion enhances the temperature. Cattaneo–Christov parameter and Prandtl number reduce the temperature. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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    Novel applications of the magnetohydrodynamics couple stress fluid flows between two plates with fractal-fractional derivatives
    (Wiley, 2021) Akgul, Ali; Siddique, Imran
    In this work, we study the applications of recently introduced nonlocal differential operators with fractional order and fractal dimension referred as fractal-fractional differential operators in fluid dynamics. We consider the magnetohydrodynamics couple stress fluid flows between two parallel plates such that the lower plate is at rest while the upper plate is acting with constant velocity. For each operator, we demonstrate a comprehensive analysis containing numerical solutions and stability investigation.