Numerical Methods for Fractal-Fractional Differential Equations and Engineering (ePub)

Muhammad Altaf Khan completed his master's degree in Applied mathematics from the Kohat University of Science in Technology in 2008. He completed his MS degree from Islamia college University Peshawar in 2012 in Applied mathematics and his research area is Mathematical Biology. He did his Ph.D. in Applied mathematics from Abdul Wali Khan University Mardan in 2015. He served as Lecturer in Abdul Wali Khan Mardan in the Department of Mathematics from 2015-2016 under the Umbrella of faculty development program. After that, he joined the City University of Science and Information Technology Peshawar and served there as Assistant Professor for the period August 2017-September 2019. He joined the post-doctorate position on October 01, 2019-December 2021 at the University of the Free State of South Africa. He also worked as a Researcher at Ton Duc Thang University Vietnam, March 2020-February 2021. He has been an Adjunct Professor at Airlangga University Indonesia for the period March 2021-Till February 2022. He is currently a Research Fellow at the University of the Free State of South Africa. He organized many special issues in reputable ISI journals, such as Advances in Difference equations, Results in Physics, Fractals, Alexandria Engineering Journals, Symmetry MDPI, etc. He is the author of more than 250 publications. He is an active editor in some reputable journals. He is an active researcher and worked working in fractional differential equations, evolutionary differential equations, optimal control problems, infectious diseases modeling, social sciences problems modeling, etc. He is a reviewer for many international journals of Springer, Wily, Hindawi, Elsevier, etc.

Abdon Atangana works at the Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa as a Full Professor. His research interests are, but are not limited to, fractional calculus and applications, numerical and analytical methods, and modeling. He is the