A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators

In this paper, a comparative analysis is carried out to study the unsteady flow of a MHD Maxwell fluid in the presence of Newtonian heating near a vertical plate. Maxwell fluid is modeled for integer order derivative, Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional-time derivatives. The Laplace transform, inversion algorithm and the convolution theorem are used in this paper to derive solutions to predict the behavior of temperature and velocity. To see the effectiveness of the differential operator, especially the effect of each fractional order, graphical study is carried out in order to show effect of magnetic effect (M) and Maxwell fluid parameter (lambda) on temperature and velocity profiles for C, CF and ABC. A comparison is made for C, CF and ABC models for temperature and velocity in tabular form. (C) 2019 Elsevier Ltd. All rights reserved.