Prof. Omar Abu Arqub

Department of Mathematics, Faculty of Science

Al-Balqa Applied University, Jordan

Email: o.abuarqub@bau.edu.jo

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. O. Abu Arqub, 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, Computers & Mathematics with Applications 73 (2017) 1243-1261.
2. M. Alquran, K. Al-Khaled, M. Ali, O. Abu Arqub, Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system, Waves, Wavelets and Fractals 3 (2017) 31-39.
3. O. Abu Arqub, H. Rashaideh, The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs, Neural Computing and Applications 28 (2017) 1-12.
4. O. Abu Arqub, N. Shawagfeh, Application of reproducing kernel algorithm for solving Dirichlet Time-fractional diffusion-Gordon types equations in porous media, Journal of Porous Media, (2017). In Press.
5. O. Abu Arqub, Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm, International Journal of Numerical Methods for Heat and Fluid Flow (2017) doi:10.1108/HFF-07-2016-0278.
6. O. Abu Arqub, S. Momani, S. Al-Mezel, M. Kutbi, A novel iterative numerical algorithm for the solutions of systems of fuzzy initial value problems, Applied Mathematics & Information Sciences 11 (2017)1059-1074.
7. O. Abu Arqub, B. Maayah, N. Shawagfeh, A fast and elegant numerical algorithm for the solutions of fractional order systems of temporal two-point BVPs with error estimations and comparative analysis, Neural Computing & Applications (2017) In Press.
8. Omar Abu Arqub, Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm, Calcolo - A Quarterly on Numerical Analysis and Theory of Computation (2017) In Press.
9. M. Al-Smadi, O. Abu Arqub, N. Shawagfeh, S. Momani, Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method, Applied Mathematics and Computation 291 (2016) 137-148.
10. M. Ahmad, S. Momani, O. Abu Arqub, M. Al-Smadi, A. Alsaedi, An Efficient Computational Method for Handling Singular Second-Order, Three Points Volterra Integrodifferential Equations, Journal of Computational and Theoretical Nanoscience 13 (2016) 7807-7815.
11. S. Bushnaq, B. Maayah, S. Momani, O. Abu Arqub, M. Al-Smadi, A. Alsaedi, Analytical Simulation of Singular Second-Order, Three Points Boundary Value Problems for Fredholm Operator Using Computational Kernel Algorithm, Journal of Computational and Theoretical Nanoscience 13 (2016) 7816-7824.
12. O. Abu Arqub, The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations, Mathematical Methods in the Applied Sciences 39 (2016) 4549-4562.
13. S. Momani, O. Abu Arqub, S. Al-Mezel, M. Kutbi, A. Alsaedi, Existence and uniqueness of fuzzy solutions for the nonlinear second-order fuzzy Volterra integrodifferential equations, Journal of Computational Analysis & Applications 21 (2016) 213-227.
14. O. Abu Arqub, B. Maayah, Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates, Neural Computing and Applications 27 (2016) 1-15.
15. M. Al-Smadi, A. Freihat, M. Abu Hammad, S. Momani, O. Abu Aqub, Analytical approximations of partial differential equations of fractional order with multistep approach, Journal of Computational and Theoretical Nanoscience 13 (2016) 7793-7801.
16. S. Momani, O. Abu Arqub, A. Freihat, M. Al-Smadi, Analytical approximations for Fokker-Planck equations of fractional order in multistep schemes, Applied and Computational Mathematics 15 (2016) 319-330.
17. O. Abu Arqub, Approximate solutions of DASs with nonclassical boundary conditions using novel reproducing kernel algorithm, Fundamenta Informaticae 146 (2016) 231-254.
18. S. Momani, O. Abu Arqub, M. Abu Hammad, Z. Abo-Hammour, A residual power series technique for solving systems of initial value problems, Applied Mathematics & Information Sciences 10 (2016) 765-775.
19. O. Abu Arqub, M. Al-Smadi, S. Momani, T. Hayat, Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems, Soft Computing (2016) 1-16. doi:10.1007/s00500-016-2262-3.
20. I. Komashynska, M. Al-Smadi, O. Abu Arqub, S. Momani, An efficient analytical method for solving singular initial value problems of nonlinear systems, Applied Mathematics and Information Sciences 10 (2016) 647-656.
21. O. Abu Arqub, M. Al-Smadi, S. Momani, T. Hayat, Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method, Soft Computing 20 (2016) 3283-3302.
22. M. Al-Smadi, A. Freihat, O. Abu Arqub, N. Shawagfeh, A Novel Multistep Generalized Differential Transform Method for Solving Fractional-order Lü Chaotic and Hyperchaotic Systems, Journal of Computational Analysis & Applications 19 (2015) 713-724.
23. O. Abu Arqub, A. El-Ajou, S. Momani, Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations, Journal of Computational Physics 293 (2015) 385-399.
24. A. El-Ajou, O. Abu Arqub, S. Momani, Approximate analytical solution of the nonlinear fractional KdV–Burgers equation: a new iterative algorithm, Journal of Computational Physics 293 (2015) 81-95.
25. O. Abu Arqub, Reproducing kernel algorithm for the analytical-numerical solutions of nonlinear systems of singular periodic boundary value problems, Mathematical Problems in Engineering, vol. 2015, Article ID 518406, 13 pages, 2015. doi:10.1155/2015/518406.
26. A. El-Ajou, O. Abu Arqub, S. Momani, D. Baleanu, A. Alsaedi, A novel expansion iterative method for solving linear partial differential equations of fractional order, Applied Mathematics and Computation 257 (2015) 119-133.
27. A. El-Ajou, O. Abu Arqub, M. Al-Smadi, A general form of the generalized Taylor’s formula with some applications, Applied Mathematics and Computation 256 (2015) 851-859.
28. O. Abu Arqub, S. Momani, S. Al-Mezel, M. Kutbi, Existence, uniqueness, and characterization theorems for nonlinear Fuzzy integrodifferential equations of Volterra type, Mathematical Problems in Engineering, vol. 2015, Article ID 835891, 13 pages, 2015. doi:10.1155/2015/835891.
29. O. Abu Arqub, Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations, Neural Computing and Applications 26 (2015) 1-20.
30. O. Abu Arqub, An iterative method for solving fourth-order boundary value problems of mixed type integro-differential equations, Journal of Computational Analysis and Applications 18 (2015) 857-874.
31. O. Abu Arqub, Z. Abo-Hammour, Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm, Information sciences 279 (2014) 396-415.
32. O. Abu Arqub, M. Al-Smadi, Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations, Applied Mathematics and Computation 243 (2014) 911-922.
33. S. Momani, O. Abu Arqub, T. Hayat, H. Al-Sulami, A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm–Volterra type, Applied Mathematics and Computation 240 (2014) 229-239.
34. B. Maayah, S. Bushnaq, S. Momani, O. Abu Arqub, Iterative multistep reproducing kernel Hilbert space method for solving strongly nonlinear oscillators, Advances in Mathematical Physics, vol. 2014, Article ID 758195, 7 pages, 2014. doi:10.1155/2014/758195.
35. M. Al-Smadi, O. Abu Arqub, A. El-Ajou, A numerical iterative method for solving systems of first-order periodic boundary value problems, Journal of Applied Mathematics, vol. 2014, Article ID 135465, 10 pages, 2014. doi:10.1155/2014/135465.
36. Z. Abo-Hammour, O. Abu Arqub, S. Momani, N. Shawagfeh, Optimization solution of Troesch’s and Bratu’s problems of ordinary type using novel continuous genetic algorithm, Discrete Dynamics in Nature and Society, vol. 2014, Article ID 401696, 15 pages, 2014. doi:10.1155/2014/401696.
37. O. Abu Arqub, A. El-Ajou, Z. Al Zhour, S. Momani, Multiple solutions of nonlinear boundary value problems of fractional order: a new analytic iterative technique, Entropy 16 (2014) 471-493.
38. Z. Abo-Hammour, O. Abu Arqub, O. Alsmadi, S Momani, A Alsaedi, An optimization algorithm for solving systems of singular boundary value problems, Applied Mathematics & Information Sciences 8 (2014) 2809-2821.
39. N. Shawagfeh, O. Abu Arqub, S. Momani, Analytical solution of nonlinear second-order periodic boundary value problem using reproducing kernel method, Journal of Computational Analysis and Applications 16 (2014) 750-762.
40. O. Abu Arqub, Z. Abo-Hammour, S. Momani, Application of continuous genetic algorithm for nonlinear system of second-order boundary value problems, Applied Mathematics and Information Sciences 8 (2014) 235-248.
41. Z. Abo-Hammour, O. Alsmadi, S. Momani, O. Abu Arqub, A genetic algorithm approach for prediction of linear dynamical systems, Mathematical Problems in Engineering, vol. 2013, Article ID 831657, 12 pages, 2013. doi:10.1155/2013/831657.
42. A. El-Ajou, O. Abu Arqub, Z. Al Zhour, S Momani, New results on fractional power series: theories and applications, Entropy 15 (2013) 5305-5323.
43. O. Abu Arqub, Z. Abo-Hammour, R. Al-Badarneh, S. Momani, A reliable analytical method for solving higher-order initial value problems, Discrete Dynamics in Nature and Society, vol. 2013, Article ID 673829, 12 pages, 2013. doi:10.1155/2013/673829.
44. A. El-Ajou, O. Abu Arqub, S. Momani, Solving fractional two-point boundary value problems using continuous analytic method, Ain Shams Engineering Journal 4 (2013) 539-547.
45. O. Abu Arqub, A. El-Ajou, S. Momani, N. Shawagfeh, Analytical solutions of fuzzy initial value problems by HAM, Applied Mathematics and Information Sciences 7 (2013), 1903-1919.
46. O. Abu Arqub, A. El-Ajou, A.S. Bataineh, I. Hashim, A representation of the exact solution of generalized Lane-Emden equations using a new analytical method, Abstract and Applied Analysis, vol. 2013, Article ID 378593, 10 pages, 2013. doi:10.1155/2013/378593.
47. O. Abu Arqub, M. Al-Smadi, N. Shawagfeh, Solving Fredholm integro–differential equations using reproducing kernel Hilbert space method, Applied Mathematics and Computation 219 (2013) 8938-8948.
48. M. Al-Smadi, O. Abu Arqub, S. Momani, A computational method for two-point boundary value problems of fourth-order mixed integrodifferential equations, Mathematical Problems in Engineering, vol. 2013, Article ID 832074, 10 pages, 2013. doi:10.1155/2013/832074.
49. O. Abu Arqub, A. El-Ajou, Solution of the fractional epidemic model by homotopy analysis method, Journal of King Saud University-Science 25 (2013) 73-81.
50. O. Abu Arqub, Series solution of fuzzy differential equations under strongly generalized differentiability, Journal of Advanced Research in Applied Mathematics 5 (2013) 31-52.
51. O .Abu Arqub, Z. Abo-Hammour, S. Momani, N. Shawagfeh, Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm, Abstract and Applied Analysis, vol. 2012, Article ID 205391, 25 pages, 2012. doi:10.1155/2012/205391.
52. A. El-Ajou, O. Abu Arqub, S. Momani, Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations, Discrete Dynamics in Nature and Society, vol. 2012, Article ID 365792, 18 pages, 2012. doi:10.1155/2012/365792.
53. O. Abu Arqub, M. Al-Smadi, S. Momani, Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations, Abstract and Applied Analysis, vol. 2012, Article ID 839836, 16 pages, 2012. doi:10.1155/2012/839836.

Last updated: 2019-11-14