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)
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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O.
Abu Arqub, Approximate solutions of DASs with nonclassical boundary
conditions using novel reproducing kernel algorithm, Fundamenta Informaticae
146 (2016) 231-254.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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O.
Abu Arqub, Adaptation of reproducing kernel algorithm for solving fuzzy
Fredholm–Volterra integrodifferential equations, Neural Computing and
Applications 26 (2015) 1-20.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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O.
Abu Arqub, Series solution of fuzzy differential equations under strongly
generalized differentiability, Journal of Advanced Research in Applied
Mathematics 5 (2013) 31-52.
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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.
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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.
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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