Fractional Differential Equations
The study of Existence, Non-Existence, Stability, Convergence, and efficient computational methods for various non-linear fractional differential models. We explore the field of Fractional differential equations and investigate its applications in real life problems including viscoelastic and non-Newtonian fluids.
Mokhtar Kirane, Ahmad Z. Fino, Sebti Kerbal, Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory, Fractal Fract. 2021, 5(4), 189.
Samir Karaa, Positivity of discrete time-fractional operators with applications to phase-field equations, SIAM Journal on Numerical Analysis, 2021, 59(4),240-253.
Group Leader: Dr. Sebti Kerbal
Group members: Dr. Hamed Al Shamsi, Sultan Qaboos University; Dr. Hanifa Mohamed Nasir, Sultan Qaboos University; Dr. Nasser Al Salti, National University of Science and Technology; Dr. Samir Karaa, Sultan Qaboos University; Dr. Sebti Kerbal, Sultan Qaboos University; Prof. Mokhtar Kirane, Khalifa University, UAE; Dr. Erkinjon Karimov, Fergana State University, Uzbekistan