Research Excellence Award
Omar Abu Arqub
Al-Balqa Applied University, Jordan
Omar Abu Arqub is a Jordanian applied mathematician and professor at Al-Balqa Applied University whose research activities span numerical analysis, fractional calculus, fuzzy systems, computational optimization, differential equations, and optimal control theory. His scholarly profile demonstrates substantial international visibility through a large portfolio of peer-reviewed publications, extensive citation impact, and sustained contributions to mathematical modeling and computational methodologies.[1] His work has contributed to the development of numerical algorithms, reproducing kernel methods, fractional differential equation models, and analytical approaches used across mathematics, engineering, physics, and interdisciplinary scientific applications.[2]
Abstract
Omar Abu Arqub’s academic profile in the context of recognition through the Research Excellence Award. The evaluation considers publication productivity, citation performance, international scholarly engagement, editorial activities, research leadership, and contributions to applied mathematics. Particular attention is given to his work in fractional calculus, numerical methods, fuzzy differential equations, reproducing kernel Hilbert space techniques, and computational optimization, which have attracted significant academic attention and generated substantial citation impact within the global mathematical sciences community.[1][3]
Keywords
Applied Mathematics; Fractional Calculus; Numerical Analysis; Computational Optimization; Differential Equations; Reproducing Kernel Methods; Fuzzy Systems; Mathematical Modeling; Research Impact; Scientific Recognition.
Introduction
Applied mathematics plays a central role in modern scientific advancement by providing analytical and computational tools for solving complex problems across engineering, physics, economics, and technology. Within this domain, Omar Abu Arqub has established a substantial research record characterized by methodological innovation and interdisciplinary applicability. His academic career includes appointments at Al-Balqa Applied University and collaborations with numerous international researchers, contributing to the development of advanced numerical and analytical frameworks for differential and fractional differential systems.[2]
Research Profile
Omar Abu Arqub has produced 165 indexed documents and accumulated more than 11,220 citations, resulting in a Scopus h-index of 63.[1] His research interests encompass fractional calculus theory, fuzzy calculus theory, stochastic systems, optimal control theory, numerical analysis, and computational optimization. These themes are reflected across a broad publication portfolio that addresses both theoretical developments and computational applications.[2]
Research Contributions
Omar Abu Arqub include the development and refinement of reproducing kernel Hilbert space methods, residual power series methodologies, and computational approaches for solving fractional differential equations. His studies have addressed mathematical models relevant to fluid dynamics, porous media, diffusion systems, optimal control problems, stochastic processes, and fuzzy environments.[2][4]
Publications
Selected publications demonstrate sustained contributions to numerical computation and fractional differential equations across leading international journals.[4]
- Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method, Applied Mathematics and Computation (2013).
- Approximate analytical solution of the nonlinear fractional KdV-Burgers equation, Journal of Computational Physics (2015).
- Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method, Soft Computing (2015).
- Implementation of reproducing kernel Hilbert algorithm for fractional Burgers models, Results in Physics (2021).
Research Impact
Research impact may be assessed through publication productivity, citation performance, influence on emerging research directions, and engagement with the international scholarly community. Omar Abu Arqub’s citation record and h-index indicate that his publications have been widely referenced by researchers working in mathematics, computational science, engineering, and applied physics.[1]
Award Suitability
The available evidence suggests strong alignment with criteria commonly associated with research excellence awards. Factors supporting suitability include sustained publication output, significant citation influence, internationally visible scholarship, leadership in specialized research areas, extensive peer-review contributions, and demonstrated engagement in collaborative research projects.[1][2]
Conclusion
Omar Abu Arqub’s academic record demonstrates sustained contributions to applied mathematics through theoretical innovation, numerical algorithm development, interdisciplinary applications, and scholarly leadership.[5] His publication history, citation performance, editorial service, and international collaborations collectively indicate a substantial level of academic influence. These characteristics provide a scholarly basis for consideration within the framework of the Research Excellence Award and similar forms of academic recognition.[1][2]
External Links
References
- Elsevier. (n.d.). Scopus author details: Omar Abu Arqub, Author ID 55372355400. Scopus.
https://www.scopus.com/authid/detail.uri?authorId=55372355400
- Abu Arqub, O., El-Ajou, A., & Momani, S. (2013). New results on fractional power series: theories and applications. Entropy
https://www.mdpi.com/1099-4300/15/12/5305
- Abu Arqub., & Momani, S. (2013). Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems.
https://link.springer.com/article/10.1007/s00500-016-2262-3
- Abu Arqub, O., El-Ajou, A., & Momani, S. (2015). Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: A new iterative algorithm. Journal of Computational Physics.
https://www.sciencedirect.com/science/article/pii/S0021999114005506
- Abu Arqub, O., El-Ajou, A. (2013). Solution of the fractional epidemic model by homotopy analysis method .
https://www.sciencedirect.com/science/article/pii/S1018364712000043