Prof. Dr. Saad Zagloul Rida Ahmed
Professor of Mathematics | Fractional Calculus | Mathematical Modeling
Prof. Dr. Saad Zagloul Rida Ahmed is a distinguished Professor of Mathematics at South Valley University, Egypt, with over four decades of exceptional contributions to mathematical sciences. Born in Qena, Egypt, in 1961, Prof. Rida holds two Ph.D. degrees—the first from Freie Universität Berlin, Germany (1996) on differential operators, and the second from South Valley University (2004) on soliton theory. His extraordinary research productivity is evidenced by over 150 publications in prestigious international journals. As Editor-in-Chief of three specialized journals in fractional calculus, he shapes global research directions. He has supervised 30 completed doctoral and master’s theses with 6 additional students currently registered. His international research experience spans Germany and the United Kingdom, fostering collaborations with renowned mathematicians. Leadership roles include Chairman of Mathematics Department (2006), Vice Dean for Higher Graduates and Research (2013), and Chairman of College Council (2015-2016).
Online Profiles
Editorial Positions:
- Editor-in-Chief, Journal of Fractional Calculus and Applications
- Editor-in-Chief, International Journal of Fractional Differential Equations
- Editor-in-Chief, Journal of Fractional Mathematical Modeling
Professional Memberships:
- Egyptian Mathematical Society
- National Committee of Mathematics
Reviewer for 22 Scientific Journals
Education
Second Ph.D. in Mathematics
South Valley University, Egypt, 2004 Thesis: “Motion of Solitons and Kinks for Nonlinear Schrödinger (NLS), Double-Quadratic (DQ), Kortweg-de Vries (KdV), and Boussinesq Equations Under Various Effects”
First Ph.D. in Mathematics
Freie Universität Berlin, Germany, 1996 Thesis: “Powers of Differential Operators and Explicit Differential Polynomials” Supervisors: Prof. Dr. Heinrich Begehr & Prof. Dr. Rainer Schimming
M.Sc. in Mathematics
Assiut University, Egypt, 1989
B.Sc. in Mathematics
Assiut University, Egypt, 1984
Languages: Arabic (native), English (very good), German (good)
Research Focus
Mathematical analysis, Fractional calculus, Differential equations, Mathematical modeling, Dynamical systems, Soliton theory, Bio-mathematics, Epidemic modeling, Nanofluid dynamics, Special functions, Numerical methods
Experience
Professor (2012-Present), Assistant Professor (2003-2012), Lecturer (1996-2003), Assistant Lecturer (1989-1996), Demonstrator (1985-1989), Department of Mathematics, South Valley University
Administrative: Chairman of Mathematics Department (2006), Vice Dean for Higher Graduates and Research (2013), Chairman of College Council (2015-2016)
International Research: Germany (1994-1996, 1996, 2008), UK (2000)
Research Timeline
2015-2016: Chairman, College Council 2013: Vice Dean for Higher Graduates and Research
2012-Present: Professor 2008: Postdoctoral, Freie Universität Berlin 2006: Chairman, Mathematics Department 2004: Second Ph.D., South Valley University 2003: Assistant Professor 2000: Visiting Researcher, DeMontfort University, UK 1996-2003: Lecturer 1996: First Ph.D., Freie Universität Berlin 1994-1996: Research, Germany (30 months) 1989-1996: Assistant Lecturer 1989: M.Sc., Assiut University 1985-1989: Demonstrator 1984: B.Sc., Assiut University
Publication
Selected Recent Publications (2023-2026)
Saad Z. Rida, Anas A.M. Arafa, Hussein S. Husseina, Marwa M.M. Mostafa and Ismail Gad Ameen. Unveiling new approximate analytical solutions for reaction-diffusion problems in mathematical biology. Communications in Nonlinear Science and Numerical Simulation, No. 152, 109351, 2026.
Saad Z. Rida, Anas A.M. Arafa, Hussein S. Hussein, Ismail G. Ameen and Marwa M.M. Mostafa. Application of Second Kind Shifted Chebyshev Residual Power Series Method for Solving Time-Fractional Fokker Planck Models. Int. J. Appl. Comput. Math, 11:101, 2025.
Saad Z. Rida, Anas A.M. Arafa, Hussein S. Hussein, Ismail G. Ameen and Marwa M.M. Mostafa. Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems. Scientific Reports, Volume 14, Article 8683, 2024.
A.M. Yousef, S.Z. Rida, H.M. Ali, A.S. Zaki. Stability, co-dimension two bifurcations and chaos control of a host-parasitoid model with mutual interference. Chaos, Solitons & Fractals, Volume 166, 112923, January 2023.
A. Hassan, A.A.M. Arafa, S.Z. Rida, M.A. Dagher, H.M. El Sherbiny. Adapting semi-analytical treatments to the time-fractional derivative Gardner and Cahn-Hilliard equations. Alexandria Engineering Journal, Volume 87, Pages 389-397, 2023.
Note: Due to length constraints, this represents a selection of Prof. Rida’s 150+ publications. The complete list includes papers from 1995-2026 covering fractional calculus, differential equations, soliton theory, bio-mathematics, epidemic modeling, nanofluid dynamics, and computational methods, published in journals including Physics Letters A, Applied Mathematics and Computation, Chaos Solitons & Fractals, Communications in Nonlinear Science and Numerical Simulation, and many others. The full publication list demonstrates sustained prolific output across four decades.
Research Impact
Prof. Rida’s 150+ publications demonstrate extraordinary productivity and impact across mathematical sciences. His work in fractional calculus has established theoretical foundations used globally. His epidemic models for HIV, Ebola, COVID-19, and other diseases provide mathematical frameworks for public health interventions. His publications in top-tier journals (Communications in Nonlinear Science, Scientific Reports, Chaos Solitons & Fractals) ensure international visibility. As Editor-in-Chief of three specialized journals, he shapes research directions in fractional calculus worldwide. His reviewer service for 22 journals demonstrates recognized expertise. His 30 completed Ph.D. and M.Sc. supervisions create a substantial research lineage multiplying his impact through trained researchers now contributing independently to mathematical sciences.
Innovation & Intellectual Property
Prof. Rida’s innovations include development of generalized Mittag-Leffler function methods, natural transform techniques for fractional equations, novel collocation methods, and hybrid analytical-numerical approaches. His work on explicit differential polynomials, Bell polynomials, and Rodrigues formulas for fractional orders represents fundamental mathematical innovation. His two e-learning courses (Differential and Integral Calculus I & II) represent pedagogical innovation making advanced mathematics accessible online.
Research Projects & Funding
Egyptian Government Grant (1994-1996, 30 months), DFG-supported project with Prof. B. Fiedler (1996, 4 months), Multiple international research visits and collaborations demonstrating sustained funding success.
Conference Contributions
Prof. Rida presented at the 2nd International Conference on Mathematics and Information Science (ICMIS2011) and numerous other venues, with several conference proceedings published in international journals.
Academic Excellence
Two Ph.D. degrees (rare achievement), Professor since 2012, Editor-in-Chief of three journals, Reviewer for 22 journals, 30 completed thesis supervisions, 150+ publications, International research collaborations across Germany and UK, Progressive career advancement through all academic ranks, Leadership in departmental and college administration.
Societal & Industry Contribution
Mathematical models for epidemic diseases inform public health policy. Fractional calculus applications advance engineering and physics. Training of 30 graduate students creates workforce for academia and industry. Editorial leadership ensures quality in mathematical research globally. Development of e-learning courses democratizes access to mathematics education.
Global Recognition
Publications in international journals with worldwide readership, International research collaborations (Germany, UK), Editor-in-Chief positions give global influence, Reviewer for major international journals, Doctoral research under renowned German mathematicians (Begehr, Schimming, Fiedler), Citations by international researchers, Contributions span four decades demonstrating sustained global impact.