Shams Eldin Ahmed was born in Khartoum state, Sudan, in 1983. He received the (B.Sc.) in mathematics from the Sudan University of science and technology in 2006, and the (M.Sc.) and (Ph.D.) degrees in mathematics science from the Sudan University of science and technology in 2011 and 2016, respectively. In 2011, he joined the Department of mathematics, University of Gezira, as a Lecturer. Since December 2011-2015, he has been with the Department of mathematics, University of Gezira, where he was a Lecturer and became an Assistant Professor in 2016. Shams Eldin Ahmed currently works at the Department of Mathematics, jouf university (College of Science and Arts) at Tubarjal. His current research interests include in Applied Mathematics (Solutions of Linear and Nonlinear Partial or Ordinary Differential Equations and Linear and Nonlinear Fractional or Integral Differential Equations).