TY - JOUR PB - Elsevier B.V. SN - 11100168 EP - 2876 AV - none TI - A new model of fractional Casson fluid based on generalized Fick's and Fourier's laws together with heat and mass transfer SP - 2865 N1 - cited By 67 Y1 - 2020/// VL - 59 JF - Alexandria Engineering Journal A1 - Sheikh, N.A. A1 - Ching, D.L.C. A1 - Khan, I. A1 - Kumar, D. A1 - Nisar, K.S. UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077390648&doi=10.1016%2fj.aej.2019.12.023&partnerID=40&md5=e1deb3c2a550ae9c422376bf09acc0f7 ID - scholars12714 KW - Functions; Magnetite; Magnetohydrodynamics; Mass transfer KW - Casson fluids; Fourier's law; Fractional derivatives; Heat-mass transfer; Mittag-Leffler functions KW - Fourier transforms N2 - A new technique for modelling the fractional model of Casson fluid is used. More exactly, the Caputo fractional model has been developed using the generalized Fick's and Fourier's laws. The magnetohydrodynamics free convection flow of Casson fluid in a channel has been considered. A new transformation is applied to the energy and mass equations and then solved by using the Laplace and Fourier sine transformations jointly. The final solutions are presented in terms of special function, namely, the Mittag-Leffler function. The effects of various physical parameters have been portrayed in graphs and tables and discussed. © 2019 Faculty of Engineering, Alexandria University IS - 5 ER -