Research & Supervision

Recently I am working in four research major topics;

• Fractional Polynomial Spline for solving Differential Equations of Fractional Order.

• Computational Method for Fractional Differential Equations Using Non-polynomial Fractional.

• Generalized Nonpolynomial Spline Method by Fractional Order.

• B-Spline function with fractional order with Applications.

PhD Supervision:

1. Muhammad Amin Sadiq Murad,  “ Mathematical Modeling of Fluid Flow with Applications”Day of discussion: 19-9-2023, order (2127), 3-9-2023.

2. Pshtiwan Othman Muhammad " Some New Development in the Theory of Fractional Difference Operators", PhD thesis, University of Sulaimani/ Sulaimani -College of Education-Department of Mathematics, Day of discussion: 21-9-2023, order (988), 17-8-2023.

3. Majeed Ahmad Yousif “Investigation Spline Functions with Fractional Order for Solving Fractional Differential Equations” PhD thesis, University of Zaxo/ Duhok -College of Education-Department of Mathematics, Day of discussion: 7-3-2024, order (450), 19-2-2024.

MSc Supervision:

1. Pshtiwam O. Muhammad,  in Title  , Investigation of Lacunary Interpolations with fractional derivatives 2014-2015.

2. Amina Hassan , Numerical Solutions by Fractional Spline Interpolations, 2015-2016.

3. Karzan Abdulrahman Hamza, B-Spline Polynomial for Solving Fractional Bagley-Torvik Equations, 2019-2020.

4. Mizhda Abbas Hidayat, Non-polynomial Spline Function with Fractional order and Applications ", MSc thesis, University of Sulaimani / Sulaimani -College of Education-Department of Mathematics, Day of discussion: 7-1-2021, order (153), 9-12-2020.

5. Seaman Sdiq Hamasalih “Methods Based on Splines Function for Solving Fractional Differential Equations", MSc thesis, University of Sulaimani / Sulaimani -College of Education-Department of Mathematics, Day of discussion: 10-9-2022, order (124), 7-8-2022.

6. Rahel Jaza Qadir  “ Spline Methods for Solving Fractional Differential Equations", MSc thesis, University of Sulaimani / Sulaimani -College of Education-Department of Mathematics, Day of discussion: 15-9-2022, order (125), 7-8-2022.

7. Emad Sanaan Salam  “On the Conjugate Gradient Method using Splines Function with Applications", MSc thesis, University of Sulaimani / Sulaimani -College of Education-Department of Mathematics, Day of discussion: 22-10-2022, order (980), 19-9-2022.