Abstract
Modelling for many physical phenomena is greatly influenced by the usage of a fractional operator involving Mittag-Leffler function. The current investigation is concerned with an application of this modern fractional operator to analyze the Newtonian heating effects for the generalized Casson fluid flow. Magnetohydrodynamic (MHD) and porous effects for such fluids are also under consideration in this research. The main problem is modeled as partial differential equations. The "Velocity" and "Temperature" functions are attained by using the analytic tool namely Laplace transform. The analysis of the used modelling parameters has been made by using graphical representations. The numerical computations are performed to validate the data. The graphical results confirm that velocity diminishes obviously with an intensification of the magnetic parameter and grows with the rise of the porosity parameter (conjugate parameter). Fluid flow is controllable for all possible values of the Casson parameter. A special case of the main solution is discussed that reduces to Newtonian fluid. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.