pshtiwan mohammed

courses: Advisor: Professor Dr.

Research Interests My general research interests are in the areas of applied mathematics, Numerical Analysis, lacunary interpolations, spline functions, mathematical inequalities, fractional dif- ferential equations, approximation theory and applications. More specifically, my research interests can be summarized as follows: 1. Fractional spline function of polynomial form with the idea of the lacunary interpolation. 2. Numerical solution of ordinary and partial differential equations of fractional order. 3. Non-polynomial fractional spline. 4. Optimal error bounds. 5. Qi’s inequality and fractional integral inequalities. 6. Partial fractional integral inequalities. 7. He-Laplace method. 8. Calculus of variation. 9. Adomian decomposition method. 10. Deferential Transformation Method (DTM). Computer Skills 1. Mathematical Software: Matlab, C++, Mathematica, Maple, Grapher.