Eur. Phys. J. Plus (2019) 134: 158
https://doi.org/10.1140/epjp/i2019-12498-0

Regular Article

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

¹ Department of Mathematics, Faculty of Science, Yarmouk University, 211-63, Irbid, Jordan
² Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey
³ Department of Mathematics, Faculty of Science, The University of Jordan, 11942, Amman, Jordan
⁴ Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

^* e-mail: vserturk@omu.edu.tr

Received: 9 November 2018
Accepted: 6 January 2019
Published online: 16 April 2019

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.