Prof. Dr. E. Elsayed | Mathematics – Professor at King AbdulAziz University, Saudi Arabia
Professor E. M. Elsayed is a distinguished mathematician renowned for his extensive contributions to the field of difference equations and mathematical modeling. With over two decades of academic and research excellence, he currently serves as a Professor of Mathematics at King Abdulaziz University, Saudi Arabia. Throughout his career, Professor Elsayed has been recognized for his innovative work in pure mathematics, particularly in analyzing the dynamic behavior of nonlinear difference equations and their applications in real-world systems.
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Education:
Professor Elsayed began his academic journey with a B.Sc. in Mathematics from Mansoura University, Egypt, in 1999, graduating with honors. He completed his M.Sc. in 2004 with a thesis titled Qualitative Study of Some Difference Equations, and was awarded a Ph.D. in Pure Mathematics in 2006 from the same institution. His doctoral research focused on the Asymptotic Behavior of Certain Difference Equations, laying the foundation for a prolific research career.
Experience:
Dr. Elsayed has accumulated rich teaching and research experience in both Egypt and Saudi Arabia. Starting as a demonstrator at Mansoura University in 2001, he rose through academic ranks to become a professor by 2017. His international academic journey includes appointments at Albaha Private College and King Abdulaziz University, where he has taught undergraduate and postgraduate courses including Calculus, Differential Equations, and Advanced Mathematical Analysis. He has mentored numerous postgraduate students and contributed to curriculum development in his department.
Research Interests:
Professor Elsayed’s research encompasses several interlinked mathematical disciplines. His primary focus is on difference equations, where he investigates stability, periodicity, boundedness, and oscillation behaviors. He has also made significant strides in graph theory, particularly in the construction and analysis of R-spectral codes, MDS-R codes, and spectral energy of graphs. Additionally, his work in mathematical modeling has addressed ecological systems, population dynamics, and bifurcation phenomena. More recently, he has expanded his interests into fractional differential equations, covering a wide array of modern fractional operators such as the Ο-Hilfer, Caputo-Fabrizio, and Atangana-Baleanu derivatives.
Awards:
Although specific awards were not listed in the public records, Professor Elsayedβs scholarly achievements are evident in his high-impact publications, citations, and international collaborations. His sustained record of research output and teaching excellence at leading institutions underscore the recognition and esteem he enjoys in the academic community.
Selected Publications π:
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π On the Periodic Nature of Some Max-type Difference Equations, Int. J. Math. Math. Sci., 2005 β Cited by 60+ articles. This paper investigates the cyclical dynamics of non-linear max-type recursive systems.
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π On the Difference Equation xn+1 = axn β bxn / (cxn β dxn-1), Advances in Difference Equations, 2006 β Cited by 45 articles. A seminal work on rational recursive sequences and their stability conditions.
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π Global Attractivity and Periodic Character of a Fractional Difference Equation of Order Three, Yokohama Math. J., 2007 β Cited by 35 articles. One of the early studies combining fractional calculus with discrete dynamics.
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π Qualitative Behavior of Higher Order Difference Equation, Soochow J. Math., 2007 β Cited by 30+ articles. Offers a comprehensive analysis of higher-order nonlinear systems.
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π On the Solutions of a Class of Difference Equations Systems, Demonstratio Mathematica, 2008 β Cited by 28 articles. Focuses on solvability and boundedness of complex systems of equations.
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π Qualitative Behavior of Some Max-type Difference Equations, Vietnam J. Math., 2008 β Cited by 25 articles. Enhances understanding of discrete models with maximum-type terms.
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π Qualitative Behavior of A Rational Recursive Sequence, Indagationes Mathematicae, 2008 β Cited by 50+ articles. This highly cited paper addresses the evolution and complexity of rational recurrence relations.
Conclusion:
Professor E. M. Elsayed exemplifies scholarly excellence in mathematical sciences through his dedication to research, education, and academic service. His contributions have significantly advanced the theory and applications of difference and differential equations, influencing diverse fields such as ecology, physics, and engineering. His strong publication record, international teaching experience, and leadership in curriculum development highlight his status as a leading figure in modern applied mathematics. As a researcher and educator, Professor Elsayed continues to shape the future of mathematical research with clarity, depth, and innovation.