%X The present work used a fractional model of Casson fluid by utilizing a generalized Fourier's Law to construct Caputo Fractional model. A flow of nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for the energy equation and then solved using integral transforms, combined, the Fourier and Laplace transformations. The results are shown in the form of the Mittagâ��Leffler function. The influence of physical parameters has been presented in graphs and tables and discussed in this work. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. %O cited By 0; Conference of 6th International Conference on Fundamental and Applied Sciences, ICFAS 2020 ; Conference Date: 13 July 2021 Through 15 July 2021; Conference Code:270909 %J Springer Proceedings in Complexity %L scholars15542 %D 2021 %R 10.1007/978-981-16-4513-6₆₇ %T Fractional Model for the Flow of Casson Nanofluid using the Generalized Fourierâ��s Law for Heat Transfer %A N.A. Sheikh %A D.L.C. Ching %A H. Sakidin %A I. Khan %I Springer Science and Business Media B.V. %P 761-769