Fractional Modeling of Fluid Flow and Transport Phenomena

Dr. Mohamed F. El-Amin is a Full Professor of Applied Mathematics and Computational Sciences at Effat University, Saudi Arabia. He is also a Visiting Professor at King Abdullah University of Science and Technology, Saudi Arabia, and is a Full Professor at Aswan University, Egypt. As a mathematician, he has over 25 years of research experience in the field of computational sciences, applied mathematics, transport in porous media, heat/mass transfer, fluid dynamics, turbulence, reservoir simulation, and other aspects of complex systems. After obtaining his PhD in 2001, he held research positions in several universities including South Valley University (Egypt), Stuttgart University (Germany), Kyushu University (Japan), and KAUST. Dr. El-Amin is the editor of several journal special issues and the editor of books including Numerical Modeling of Nanoparticle Transport in Porous Media: MATLAB/Python Approach, Elsevier.Dr. El-Amin's key areas of research are computational mathematics and fluid flow modeling, with applications in several areas - including but not limited to reservoir simulation, transport phenomena, nanofluids flow, multiphase flow, transport in porous media, heat and mass transfer, hydrogen energy, boundary layer flow, magnetohydrodynamics, and non-Newtonian fluids.

• 1. Traditional modeling of fluid flow and transport phenomena2. Fundamentals of fractional calculus3. Fundamentals of fractional modeling of fluid flow4. Analytical solutions of fractional PDEs5. Numerical methods for solving fractional PDEs6. Fractional-order models of fluid flow, heat and mass transfer7. Fractional-order models of non-Newtonian fluids8. Fractional-order models of nanofluids and ferrofluids9. Fractional models of turbulent flows10. Fractional-order derivatives for multiphase flow in porous media11. Fractional models of magneto- and electrohydrodynamics12. Fractional models in renewable energy systems