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Analysis of MHD generalized first problem of Stokes’ in view of local and non-local fractal fractional differential operators

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  • Siddique, Imran
  • Akgül, Ali

Abstract

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.

Suggested Citation

  • Siddique, Imran & Akgül, Ali, 2020. "Analysis of MHD generalized first problem of Stokes’ in view of local and non-local fractal fractional differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305579
    DOI: 10.1016/j.chaos.2020.110161
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    References listed on IDEAS

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    1. Atangana, Abdon & Qureshi, Sania, 2019. "Modeling attractors of chaotic dynamical systems with fractal–fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 320-337.
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    5. Syed Tauseef Mohyud-Din & Naveed Ahmed & Umar Khan & Asif Waheed & Saqib Hussain & Maslina Darus, 2016. "On Combined Effects of Heat Transfer and Chemical Reaction for the Flow through an Asymmetric Channel with Orthogonally Deformable Porous Walls," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, March.
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    Cited by:

    1. Akgül, Ali & Siddique, Imran, 2021. "Analysis of MHD Couette flow by fractal-fractional differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

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