Research Group Members

The Importance of the Work of Proposed Research Group to the University and the Society

The work of the proposed research group covers a variety of important fields such as fixed point theory and applications, optimization, analytic approximation of the solutions of nonlinear problems associated with the real world problems, stability theory of differential and integro-differential systems, investigation of fractional differential equations with the sphere of study ranging from the theoretical aspects of existence and uniqueness of solutions to the analytic and numerical methods for finding solutions, noise reduction problems, structural stability, vibration, plated structures and shells, nonlinear wave phenomena, wavelets, solitons and compactions, N-solitons, and singular perturbation in the diffusion process. These research fields have a great potential in the industry and highly useful to provide the descent solution to the practical problems arising in various phenomena of transport theory, the transfer of neutrons through thin plates and membranes in nuclear reactors, in the propagation of radiation through the atmosphere of planets and stars, and in several other transport problems, nonlinear optics, unsteady aerodynamics and aero elastic phenomena, biophysics, blood flow phenomena, visco-elasticity, visco-elastic panel in supersonic gas flow, fluid dynamics, electro dynamics of complex medium, many models of population growth, polymer rheology, neural network modeling, sandwich system identification, materials with fading memory, mathematical modeling of the diffusion of discrete particles in a turbulent fluid, heat conduction in materials with memory, theory of lossless transmission lines, theory of population dynamics, compartmental systems, nuclear reactors and mathematical modeling of a hereditary phenomenon. In view of the above-mentioned extensive applications, the proposed research group will have a great impact in the research activities of the university. As it reflects from the utility of the work, this research group has the potential to interact with the chemical, mechanical and electronics industries of the Kingdom and carries out joint research. In consequence, it will have a great impact on the economy of the Kingdom. Moreover, the present research group may also interact with the scientists of other universities in the Kingdom and create a larger research group of wider national interest.