1. Butris, R. N., & Faris, H. S. (2023). Periodic solutions for nonlinear systems of multiple integro-differential equations that contain symmetric matrices with impulsive actions. Iraqi Journal of Science, 64.
2. Butris, R. N., & Faris, H. S. (2023). Solutions of nonlinear boundary system with coupled integral boundary conditions. E-Jurnal Matematika, 12(4), 248–259.
3. Butris, R. N., & Faris, H. S. (2023). Periodic solutions for nonlinear systems of multiple integro-differential equations that contain symmetric matrices with impulsive actions. Iraqi Journal of Science, 304–324.
4. Faris, H. S., & Butris, R. N. (2022). Existence, uniqueness, and stability of solutions of systems of complex integro-differential equations on complex planes. WSEAS Transactions on Mathematics, 21, 90–97.
5. Faris, H. S., & Butris, R. N. (2022). Existence, uniqueness, and stability of solutions of systems of complex integrodifferential equations on complex planes. WSEAS Transactions on Mathematics, 21, 90–97.
6. Butris, R. N., & Faris, H. S. (2020). Periodic solutions for nonlinear systems of multiple integro-integral differential equations of V–F and F–V type with isolated singular kernels. General Letters in Mathematics, 9, 106–128.

My research interests lie primarily in the fields of Applied Mathematics, Numerical Analysis, and Integral Equations. These areas offer powerful theoretical and computational tools for understanding complex phenomena across science and engineering. I am particularly interested in how mathematical models can be transformed into efficient numerical methods that deliver accurate and reliable solutions to real-world problems.

Applied Mathematics provides the broader foundation of my work, enabling the translation of scientific questions into precise mathematical formulations. Within this framework, Numerical Analysis plays a central role as it focuses on developing and analyzing algorithms capable of approximating solutions where analytical methods are not feasible. My interest in Numerical Analysis is driven by the challenge of balancing efficiency, stability, and accuracy, especially for large-scale or highly nonlinear problems.

Integral equations constitute a key focus area in my research. They arise naturally in many disciplines—such as fluid mechanics, potential theory, and boundary value problems—and often present computational challenges that require sophisticated numerical techniques. I aim to explore both the theoretical properties of integral equations and the development of robust numerical schemes for solving them, including iterative methods and discretization approaches.

Through the intersection of these fields, my research seeks to contribute to advancing mathematical understanding and creating computational methods that can support scientific discovery and technological innovation.

My teaching experience covers a wide range of mathematical subjects, including Calculus, Advanced Calculus, Linear Algebra, Ordinary Differential Equations, Fractional Differential Equations, and Complex Analysis. Through these courses, I have focused on building students’ analytical skills, strengthening their understanding of mathematical theory, and encouraging effective problem-solving. Teaching both foundational and advanced topics has allowed me to support students at different academic levels and to promote a deeper appreciation of mathematics in both theoretical and applied contexts.

Since 2013, my supervision at the fourth stage (senior undergraduate level) has focused on differential and integral equations, combining theoretical foundations with applied problem-solving.

A key area is the existence and uniqueness of solutions for ordinary differential equations (ODEs), functional differential equations (FDEs), and integral equations. Students are introduced to core theorems and conditions that ensure well-defined solutions.

I also supervise topics in integral and Integro-differential equations, emphasizing analytical methods and their applications in scientific fields. This includes understanding solution behavior and links between different equation types.

Overall, my supervision promotes clear mathematical reasoning, independent thinking, and the ability to apply theory to practical problems.

No CV available