Dr. Mohammed S. Abdo
Assistant to the President of Hodeidah University for Postgraduate Studies and Scientific Research
Apartment 08, Jizan Street, Hodeidah, Yemen
My research focuses on fractional calculus, the theory of fractional differential equations/inclusions, and fixed point theory. These topics relate to the analytical study of fractional differential equations, such as the existence, uniqueness, continuous dependence, and stability of solutions. In general, nonlinear analysis in applied mathematics is one of the main branches of my research. I am particularly interested in mathematical models that describe biological and medical phenomena.
Mathematical analysis; Functional analysis; Nonlinear analysis; Differential equations; Fractional differential equations; Fractional calculus; Fixed point theory; Topology; Fuzzy mathematics.
Department of Mathematics, Faculty of Science, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, Maharashtra, India
Thesis Title: Studies in the Theory of Fractional Functional Differential Equations
Supervisor: Professor Satish K. Panchal
Department of Mathematics, Faculty of Science, King Faisal University, Al-Ahsa, Saudi Arabia
Thesis Title: Perturbed Iterative Processes in Banach Spaces
Supervisor: Professor Ahmad Jamal Ibrahim
Department of Mathematics, Faculty of Education, Hodeidah University, Hodeidah, Yemen
Associate Professor, Mathematics Department, Hodeidah University, Yemen
Co-Supervisor at Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India
Lecturer at King Faisal University, Al-Ahsa, Saudi Arabia
Mathematics Lecturer, National University, Yemen
Mathematics Lecturer, Hodeidah University, Yemen
Theoretical study on systems of generalized neutral hyperbolic partial fractional differential equations
New error estimate for a finite difference scheme for a fractional transport-advection equation with a zero-order term
Fractional-order modeling of the co-existence dynamics of tuberculosis and diabetes mellitus
Particle swarm optimization-based analysis for unlocking the neutrino mass puzzle using flavor symmetry
Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results
Statistical and computational analysis for corruption and poverty model using Caputo-type fractional differential equations
Existence of a generalized solution for the fractional contact problem
New existence results for boundary value problems involving Ψ-Caputo fractional derivative
Apartment 08, Jizan Street, Hodeidah, Yemen