Prof. Omar Abu Arqub

Department of Mathematics, Faculty of Science

Al-Balqa Applied University, Jordan

Email: [email protected]

Qualifications

2008 Ph.D., The University of Jordan, Jordan

2002 M.Sc., The University of Jordan, Jordan

1996 B.Sc., Mutah University, Jordan

Publications (Selected)

1. Badawi, H., Arqub, O. A., & Shawagfeh, N. (2026). Numerical Analysis Employing Matrix Spectral Collocation Step Method for Stochastic Conformable Differential Problems Stimulated by One-Dimensional Brownian Motion with Constant Discrete Delays. Fluctuation and Noise Letters, 25(04).
2. Djennadi, S., Abu Arqub, O., & Shawagfeh, N. (2026). A stable regularization approach for reconstructing the initial displacement or the initial velocity in the fractional two-dimensional diffusion-wave equation. Modern Physics Letters B, 40(19).
3. Arqub, O. A., Nadeem, M., & Gurefe, Y. (2026). PREFACE: SPECIAL ISSUE ON "RECENT APPLICATIONS OF FRACTAL THEORY AND FRACTIONAL CALCULUS IN MATHEMATICAL PHYSICS". Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 34(02).
4. Zaky, M. A., Ameen, I. G., Arqub, O. A., et al. (2025). High-order fractional spectral collocation method for the nonsmooth solutions of nonlinear right-sided Caputo terminal value problems. Fractional Calculus and Applied Analysis, 28(6), 3189–3210.
5. Bekhouche, F., Boulakour, O., Abu Arqub, O., et al. (2025). New analytical and approximate solutions for the time-conformable fractional Kersten-Krasil'shchik coupled KdV-mKdV nonlinear system. Engineering Computations, 42(9), 3578–3615.
6. Badawi, H., Abu Arqub, O., & Eid, R. (2026). THEORETICAL PREDICTIONS OF EXISTENCE AND UNIQUENESS FOR STOCHASTIC M-FRACTIONAL DIFFERENTIAL MODELS OF RANDOM BROWNIAN MOTION, EXHIBITED WITH MATRIX SPECTRAL COLLOCATION SOLUTIONS AND SIMULATED WITH THE ELECTRICAL ENGINEERING RLC UTILITY AS A CASE INTERPRETATION. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 34(02).
7. Zaky, M. A., & Abu Arqub, O. (2025). Improved spectral method for the nonsmooth solutions of nonlinear fractional differential equations. Journal of Applied Mathematics and Computing, 71(6), 9173–9190.
8. Djennadi, S., Abu Arqub, O., & Abukhaled, M. (2025). On Recovering a Time-Dependent Inverse Problem in the Diffusion Model with a Dirichlet-Type Constraint and an Integral Overposed Condition: Theory and Simulation. Mathematical Sciences, 19(3), Article 14.
9. Nadeem, M., Senol, M., & Abu Arqub, O. (2025). Study of soliton solutions, bifurcation, and sensitivity analysis in the Davey-Stewartson-Kadomtsev-Petviashvili model. Modern Physics Letters B, 39(35).
10. Badawi, H., Arqub, O. A., & Shawagfeh, N. (2025). Existence, uniqueness, and numerical analysis of fractional M-derivative stochastic integrodifferential models within the shifted Legendre Gauss pseudospectral algorithm. Fluctuation and Noise Letters, 24(06).
11. Djennadi, S., Abu Arqub, O., Abukhaled, M., et al. (2026). AN INVERSE TIME-DEPENDENT DIFFUSION COEFFICIENT PROBLEM FOR A SPACE-FRACTIONAL DIFFUSION EQUATION. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 34(02), Article 2540212.
12. Badawi, H., Abu Arqub, O., & Shawagfeh, N. (2025). Theoretical study and numerical analysis using step spectral collocation method for stochastic M-fractional differential models of simplified Brownian motion within constant delays process. Journal of Applied Mathematics and Computing, 71(5), 6773–6805.
13. Sweis, H., Arqub, O. A., Shawagfeh, N., et al. (2025). ANALYSIS AND COLLOCATION APPROXIMATIONS USING SHIFTED LEGENDRE GALERKIN ALGORITHM FOR SYSTEMS OF FRACTIONAL INTEGRODIFFERENTIAL DELAY PROBLEMS REGARDING HILFER FRACTIONAL TYPE. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 33(08).
14. Nadeem, M., Arqub, O. A., Hazaimeh, H. M., et al. (2025). Bifurcation, chaos, and time series analysis of the Manakov model utilizing the unified Riccati equation expansion technique. Modern Physics Letters A, 40(21N22).
15. Nadeem, M., Atif, M., El-Meligy, M. A., et al. (2026). Fractional analysis of time-fractional Emden-Fowler model arising in fluid flow of porous media and physical sciences. International Journal of Geometric Methods in Modern Physics, 23(03), Article 2550173.
16. Nadeem, M., Arqub, O. A., Iambor, L. F., et al. (2025). THE PROSPECTIVE ANALYSIS OF THREE-DIMENSIONAL TIME-FRACTIONAL HELMHOLTZ MODEL USING A NEW ITERATIVE METHOD. Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 33(04).
17. Nadeem, M., & Abu Arqub, O. (2025). Soliton solutions and stability analysis to the Hirota-bilinear-like model using the unified Riccati equation expansion approach. Modern Physics Letters B, 39(27).
18. Eriqat, T., Oqielat, M. N., El-Ajou, A., et al. (2025). APPROXIMATE SOLUTIONS OF TIME FRACTIONAL WHITHAM-BROER-KAUP EQUATIONS USING LAPLACE-RESIDUAL POWER SERIES METHOD. TWMS Journal of Pure and Applied Mathematics, 16(2), 176–199.
19. Nadeem, M., Jabeen, S., & Abu Arqub, O. (2025). Investigating the invariant solutions of (1+1)-dimensional Sawada-Kotera model using Lie symmetries analysis. Modern Physics Letters B, 39(15).
20. Nadeem, M., Arqub, O. A., Ali, A. H., et al. (2024). Bifurcation, chaotic analysis and soliton solutions to the (3+1)-dimensional p-type model. Alexandria Engineering Journal, 107, 245–253.
21. Nadeem, M., Arqub, O. A., & Alotaibi, F. M. (2025). Optical soliton solutions and modulation instability for unstable conformable Schrödinger model. International Journal of Modern Physics C, 36(01).
22. Sweis, H., Abu Arqub, O., & Shawagfeh, N. (2024). Well-posedness analysis and pseudo-Galerkin approximations using Tau Legendre algorithm for fractional systems of delay differential models regarding Hilfer (α,β)-framework set. PLOS ONE, 19(6), Article e0305259.
23. Sweis, H., Shawagfeh, N., & Arqub, O. A. (2025). Delay volterra integrodifferential models of fractional orders and exponential kernels: Well-posedness theoretical results and Legendre-Galerkin shifted approximations. Modern Physics Letters B, 39(03).
24. Sweis, H., & Abu Arqub, O. (2024). The computational orthogonal shifted Legendre-Galerkin approach for handling fractional delay differential problems via adapting fractional M-derivative. International Journal of Modern Physics C, 35(10).
25. Sweis, H., Shawagfeh, N., & Abu Arqub, O. (2024). Existence, uniqueness, and galerkin shifted Legendre's approximation of time delays integrodifferential models by adapting the Hilfer fractional attitude. Heliyon, 10(4), Article e25903.

Profile Details
https://www.bau.edu.jo/Academic/CV.aspx?lang=en&userid=jaZUvLVHW+T3wp/ZqGWoFg==
https://scholar.google.com/citations?user=T4qYuBMAAAAJ&hl=en
https://al-balqa.academia.edu/OAbuArqub

WOS ResearcherID: JEF-0683-2023