Showing 1 - 10 results of 10 for search '"special functions"', query time: 0.07s Refine Results
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    Fractional Modeling of Viscous Fluid over a Moveable Inclined Plate Subject to Exponential Heating with Singular and Non-Singular Kernels by Aziz Ur Rehman, Muhammad Bilal Riaz, Wajeeha Rehman, Jan Awrejcewicz, Dumitru Baleanu

    Published 2022-01-01
    “…The fractionalized analytical solutions based on special functions are obtained by using Laplace transform method to tackle the non-dimensional partial differential equations for velocity, mass and energy. …”
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    Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate by Muhammad Bilal Riaz, Aziz Ur Rehman, Adam Wojciechowski, Abdon Atangana

    Published 2023-01-01
    “…For seeking exact solutions in terms of special functions namely Mittag–Leffler functions, G-function etc., for Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature, Laplace integral transformation method is used to solve the non-dimensional model. …”
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    Impact of Newtonian Heating via Fourier and Fick’s Laws on Thermal Transport of Oldroyd-B Fluid by Using Generalized Mittag-Leffler Kernel by Chunxia Chen, Aziz Ur Rehman, Muhammad Bilal Riaz, Fahd Jarad, Xiang-E Sun

    Published 2022-04-01
    “…The non-dimensional developed fractional model for momentum, thermal and diffusion equations based on Prabhakar fractional operator has been solved analytically via Laplace transformation method and calculated solutions expressed in terms of Mittag-Leffler special functions. Graphical demonstrations are made to characterize the physical behavior of different parameters and significance of such system parameters over the momentum, concentration and energy profiles. …”
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    Thermal and concentration diffusion impacts on MHD Maxwell fluid: A generalized Fourier's and Fick's perspective by Aziz Ur Rehman, Muhammad Bilal Riaz, Abdon Atangana, Fahd Jarad, Jan Awrejcewicz

    Published 2022-07-01
    “…The non-dimensional developed fractional model for momentum, thermal and diffusion equations based on Prabhakar fractional operator has been solved analytically via Laplace transformation method and calculated solutions expressed in terms of Mittag-Leffler special functions. Graphical demonstration are made to characterized the physical behavior of different parameters and significance of such system parameters over the momentum, concentration and energy profiles. …”
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    Article
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    Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions by Syed Tauseef Saeed, Muhammad Bilal Riaz, Jan Awrejcewicz, Hijaz Ahmad

    Published 2021-09-01
    “…The analytic results are transformed into a special function for the plate with a constant velocity, a plate with linear velocity, a plate with exponential velocity, and a plate with sinusoidal velocity. …”
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