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Mathematics
Jordan
2026

D-Index & Metrics

Rising Stars

D-Index
60
Citations
9797
World Ranking
167
National Ranking
2

Mathematics

D-Index
61
Citations
10656
World Ranking
524
National Ranking
2

Research.com Recognitions

  • 2026 - Research.com Mathematics in Jordan Leader Award
  • 2025 - Research.com Mathematics in Jordan Leader Award
  • 2025 - Research.com Rising Stars Award

Overview

Omar Abu Arqub is affiliated with Al-Balqa` Applied University in Jordan and has contributed extensively to the field of Mathematics, focusing on modeling and simulation, numerical analysis, and applied mathematics.

Their research primarily revolves around fractional differential equations solutions, differential equations and numerical methods, and nonlinear differential equations analysis. Other key topics include nonlinear waves and solitons, iterative methods for nonlinear equations, numerical methods in engineering, and fuzzy systems and optimization.

Omar Abu Arqub has collaborated frequently with several coauthors, including Nabil Shawagfeh, Banan Maayah, Mohammed Al-Smadi, Shaher Momani, and Mohammed Sh. Alhodaly.

Their work has been published in a variety of scientific journals, with frequent contributions to the following venues:

  • Alexandria Engineering Journal
  • Fractals
  • International Journal of Modern Physics C
  • Physica Scripta
  • Results in Physics

Among recent publications authored by Omar Abu Arqub are:

  • Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions, 2020, Soft Computing
  • Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator, 2021, Mathematical Methods in the Applied Sciences
  • Adaptation of kernel functions-based approach with Atangana-Baleanu-Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations, 2021, Mathematical Methods in the Applied Sciences

Best Publications

  • Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm

    Omar Abu Arqub;Za'er Salim Abo-Hammour

  • Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations

    Omar Abu Arqub

  • Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

    Omar Abu Arqub;Mohammed Al-Smadi;Shaher Momani;Tasawar Hayat

  • Approximate analytical solution of the nonlinear fractional KdV-Burgers equation

    Ahmad El-Ajou;Omar Abu Arqub;Shaher Momani

  • Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

    Omar Abu Arqub;Mohammed Al-Smadi;Shaher Momani;Tasawar Hayat

  • New Results on Fractional Power Series: Theory and Applications

    Ahmad El-Ajou;Omar Abu Arqub;Zeyad Abdel Aziz Al Zhour;Shaher Momani

  • Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm

    Omar Abu Arqub

  • Optimization Solution of Troesch’s and Bratu’s Problems of Ordinary Type Using Novel Continuous Genetic Algorithm

    Zaer Abo-Hammour;Omar Abu Arqub;Shaher Momani;Shaher Momani;Nabil Shawagfeh

  • Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

    Omar Abu Arqub

  • Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions

    Omar Abu Arqub;Mohammed Al-Smadi

  • Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method

    Omar Abu Arqub;Mohammed Al-Smadi;Nabil Shawagfeh

  • Solution of the fractional epidemic model by homotopy analysis method

    Omar Abu Arqub;Ahmad El-Ajou

  • Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations

    Omar Abu Arqub;Ahmad El-Ajou;Shaher Momani

  • Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates

    Mohammed Al-Smadi;Omar Abu Arqub

  • Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space

    Omar Abu Arqub;Mohammed Al-Smadi

  • Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing kernel scheme

    Unknown

  • APPLICATION OF REPRODUCING KERNEL ALGORITHM FOR SOLVING DIRICHLET TIME-FRACTIONAL DIFFUSION-GORDON TYPES EQUATIONS IN POROUS MEDIA

    Omar Abu Arqub;Nabil Shawagfeh

  • Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions

    Omar Abu Arqub

  • A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method

    Omar Abu Arqub;Ahmad El-Ajou;A. Sami Bataineh;Ishak Hashim

  • Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm

    Omar Abu Arqub;Zaer Abo-Hammour;Shaher Momani;Nabil Shawagfeh

  • Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

    Omar Abu Arqub

  • A novel expansion iterative method for solving linear partial differential equations of fractional order

    Ahmad El-Ajou;Omar Abu Arqub;Shaher Momani;Dumitru Baleanu

Frequent Co-Authors

Shaher Momani
Shaher Momani University of Jordan
Mohammed Al-Smadi
Mohammed Al-Smadi Lusail University
Tasawar Hayat
Tasawar Hayat Quaid-i-Azam University
Ishak Hashim
Ishak Hashim National University of Malaysia
Shadi Aljawarneh
Shadi Aljawarneh Jordan University of Science and Technology
Zaid Odibat
Zaid Odibat Al-Balqa` Applied University
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Vedat Suat Erturk
Vedat Suat Erturk Ondokuz Mayis University
Kamel Al-Khaled
Kamel Al-Khaled Jordan University of Science and Technology
Marwan Alquran
Marwan Alquran Jordan University of Science and Technology

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