Accepted Manuscript A New Idea of Atangana-Baleanu Time Fractional Derivatives to Blood Flow with Magnetics Particles in a Circular Cylinder: Two Phase Flow Model Farhad Ali, Salman Yousaf, Ilyas Khan, Nadeem Ahmad Sheikh PII: S0304-8853(18)33478-4 DOI: https://doi.org/10.1016/j.jmmm.2019.165282 Article Number: 165282 Reference: MAGMA 165282 To appear in: Journal of Magnetism and Magnetic Materials Received Date: 30 October 2018 Revised Date: 7 April 2019 Accepted Date: 6 May 2019 Please cite this article as: F. Ali, S. Yousaf, I. Khan, N.A. Sheikh, A New Idea of Atangana-Baleanu Time Fractional Derivatives to Blood Flow with Magnetics Particles in a Circular Cylinder: Two Phase Flow Model, Journal of Magnetism and Magnetic Materials (2019), doi: https://doi.org/10.1016/j.jmmm.2019.165282 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.