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An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit

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Abstract.

The aim of the present study is to obtain approximate solutions of the fractional counterpart of a boundary value problem that appears in electrohydrodynamic flows by using generalized differential transform method (in short, GDTM). Convergence of the solution problem is proved. The efficiency and applicability of the present method are demonstrated by solving the equation for selected values of the parameters that appear in the model. In addition, residual error computation is adopted to verify the validity of the results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Yarmouk University, 211-63, Irbid, Jordan

    A. K. Alomari

  2. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey

    Vedat Suat Erturk

  3. Department of Mathematics, Faculty of Science, The University of Jordan, 11942, Amman, Jordan

    Shaher Momani

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    Ahmed Alsaedi

Authors
  1. A. K. Alomari
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  2. Vedat Suat Erturk
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  3. Shaher Momani
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  4. Ahmed Alsaedi
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Correspondence to Vedat Suat Erturk.

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Alomari, A.K., Erturk, V.S., Momani, S. et al. An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit. Eur. Phys. J. Plus 134, 158 (2019). https://doi.org/10.1140/epjp/i2019-12498-0

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  • DOI: https://doi.org/10.1140/epjp/i2019-12498-0

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