Omar Abu Arqub | Applied Mathematics | Research Excellence Award

Published on by Applied Scientist

Research Excellence Award

Omar Abu Arqub
Al-Balqa Applied University, Jordan

Omar Abu Arqub
Affiliation Al-Balqa Applied University
Country Jordan
Scopus ID 55372355400
Documents 165
Citations 11,220
h-index 63
Subject Area Applied Mathematics
Event Applied Scientist Awards
ORCID 0000-0001-9526-6095

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]

References

  1. Elsevier. (n.d.). Scopus author details: Omar Abu Arqub, Author ID 55372355400. Scopus.
    https://www.scopus.com/authid/detail.uri?authorId=55372355400
  2. 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
  3. 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
  4. 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
  5. 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

Illych Alvarez | Dynamic Systems | Best Researcher Award

Published on by Applied Scientist

Prof. Dr. Illych Alvarez | Dynamic Systems | Best Researcher Award

Research Professor at Escuela Superior Politecnica del Litoral | Ecuador

Prof. Dr. Illych Ramses Alvarez Alvarez is an emerging researcher in applied mathematics, focusing on dynamical systems, numerical modeling, and STEM education innovation. His work integrates chaotic dynamics, fuzzy systems, and computational simulations to address complex scientific and educational challenges. He has contributed 12 Scopus-indexed publications with 7 citations and an h-index of 2, reflecting growing academic impact. His research demonstrates interdisciplinary relevance, particularly in mathematical modeling and applied problem-solving. With consistent scholarly output and peer-review engagement, he shows strong potential for future contributions, supporting his suitability for recognition under a Research Excellence Award in an emerging researcher category.

Citation Metrics (Scopus)

16

12

8

4

0

Citations
7

Documents
12

h-index
2

Featured Publications

Roberto Amato | Number Theory | Scientific Contribution Award

Published on by Applied Scientist

Prof. Roberto Amato | Number Theory | Scientific Contribution Award

Professor at University of Messina, Italy.

Prof. Roberto Amato is a seasoned Italian mathematician with deep expertise in functional analysis and number theory. With a distinguished academic journey that began at the University of Messina and extended through specialized research at SISSA, Trieste, he has contributed extensively to the fields of mathematical analysis and number theory. His recent work focuses on the algebraic and structural properties of Pythagorean triples. Over his multi-decade career, Prof. Amato has taught numerous mathematical subjects to students in science, engineering, and applied disciplines, demonstrating a remarkable ability to bridge theory and pedagogy.

Professional Profile

Education

  • Laurea in Mathematics (with honors): University of Messina, Faculty of Sciences – October 5, 1981

  • Magister Philosophiae in Functional Analysis: International School for Advanced Studies (SISSA), Trieste – 1984/1985

  • Research Scholar in Functional Analysis: SISSA, Trieste (1983–1987), supported by a competitive scholarship

Professional Experience

Prof. Roberto Amato began his academic career as a Researcher at the Department of Mathematics, University of Messina, on October 5, 1987, after winning a national competition. He was confirmed as a permanent researcher in 1991. Since 2013, he has been serving in the Department of Engineering at the same university. With a teaching career spanning over three decades, he has instructed a wide range of undergraduate courses in Mathematical Analysis across various degree programs including Mathematics, Physics, Electronic and Computer Engineering, Materials Engineering, Civil Engineering, Navigation Sciences, and Nutraceutical Sciences. His expertise has shaped foundational mathematics curricula in both science and engineering faculties.

Research Interests

  • Number Theory: Especially focused on Pythagorean triples and their algebraic structures

  • Functional Analysis: Differentiability for parabolic systems and regularity of nonlinear elliptic operators

  • Mathematical Analysis: Emphasis on variational and non-variational solutions and mathematical foundations of applied systems

Publications Top Notes

  • “A characterization of Pythagorean triples”
    JP Journal of Algebra, Number Theory and Applications, 39(2), pp. 221–230, 2017 — Cited: 16 times

  • “Some relations among Pythagorean triples”
    International Journal of Mathematics and Computer Science, 16(1), pp. 143–147, 2021 — Cited: 6 times

  • “A note on Pythagorean Triples”
    International Journal of Mathematics and Computer Science, 15(2), pp. 485–490, 2020 — Cited: 6 times

  • “A characterization of primitive Pythagorean triples”
    Palestine Journal of Mathematics, 12(2), pp. 524–529, 2023 — Cited: 4 times

  • “Groups and Monoid in the Set of Pythagorean Triples”
    INTEGERS, 24(A5), pp. 1–13, 2024 — Cited: 2 times

Conclusion

Prof. Roberto Amato is a well-qualified and credible nominee for the Research for Scientific Contribution Award in the field of Number Theory. His career demonstrates a consistent and focused trajectory in exploring classical number-theoretic problems with modern mathematical tools. His dedication to teaching and bridging theory with applied science education also reflects a holistic academic contribution.

While further impact could be enhanced by strategic international collaboration and grant leadership, his scholarly output and academic influence—particularly in structural number theory—make him a strong candidate for this prestigious recognition.