Omar Abu Arqub

10.8k citations

144 papers · 9.0k indexed · 6 hit papers · h-index 58

Modeling and Simulation top 0.01%
- Fractional Differential Equations Solutions 128
Numerical Analysis top 0.1%
- Differential Equations and Numerical Methods 59
- Iterative Methods for Nonlinear Equations 34
- Numerical methods for differential equations 22
Applied Mathematics top 0.2%
- Nonlinear Differential Equations Analysis 40
Statistical and Nonlinear Physics top 0.2%
- Nonlinear Waves and Solitons 27
Statistics and Probability top 0.5%
- Fuzzy Systems and Optimization 19
Mechanics of Materials
- Numerical methods in engineering 19

Co-authors: Mohammed Al‐Smadi Shaher Momani Ahmad El-Ajou Zaer S. Abo‐Hammour Banan Maayah Nabil ShawagfehTasawar HayatMohammed Sh. Alhodaly
Cited by: Modeling and Simulation Numerical Analysis Applied Mathematics
Journals: SHILAP Revista de lepidopterología (3 papers)PLoS ONE (1 paper)Journal of Computational Physics (2 papers)
Partner nations: Jordan Saudi Arabia United Arab Emirates

In The Last Decade

Omar Abu Arqub

139 papers receiving 8.6k citations

Hit Papers

6 papers align trajectories log scale

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

2022 Demonstratio Mathematica
2018 International Journal of Numerical Methods for Heat &amp Fluid Flow
2016 Soft Computing
2015 Soft Computing
2015 Neural Computing and Applications
2014 Information Sciences

Peers

Countries citing papers authored by Omar Abu Arqub

Since Specialization

Citations

This map shows the geographic impact of Omar Abu Arqub's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Omar Abu Arqub with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Omar Abu Arqub more than expected).

Fields of papers citing papers by Omar Abu Arqub

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Omar Abu Arqub. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Omar Abu Arqub. The network helps show where Omar Abu Arqub may publish in the future.

Co-authorship network

The 25 scholars most cited alongside Omar Abu Arqub, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Omar Abu Arqub Line = papers co-authored together Omar Abu Arqub links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	ANALYSIS AND COLLOCATION APPROXIMATIONS USING SHIFTED LEGENDRE GALERKIN ALGORITHM FOR SYSTEMS OF FRACTIONAL INTEGRODIFFERENTIAL DELAY PROBLEMS REGARDING HILFER FRACTIONAL TYPE Fractals ·Hind Sweis,Omar Abu Arqub,Nabil Shawagfeh,Marwan Abukhaled	2025	1
2	Existence, uniqueness, and numerical analysis of fractional M-derivative stochastic integrodifferential models within the shifted Legendre Gauss pseudospectral algorithm Fluctuation and Noise Letters ·Haneen Badawi,Omar Abu Arqub,Nabil Shawagfeh	2025	1
3	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 ·Haneen Badawi,Omar Abu Arqub,R. Eid	2025	1
4	Soliton solutions and stability analysis to the Hirota-bilinear-like model using the unified Riccati equation expansion approach Modern Physics Letters B ·Muhammad Nadeem,Omar Abu Arqub	2025	1
5	High-order fractional spectral collocation method for the nonsmooth solutions of nonlinear right-sided Caputo terminal value problems Fractional Calculus and Applied Analysis ·Mahmoud A. Zaky,Ibrahem G. Ameen,Omar Abu Arqub,E. H. Doha	2025	0
6	Bifurcation, chaotic analysis and soliton solutions to the (3+1)-dimensional p-type model Alexandria Engineering Journal ·Muhammad Faisal Nadeem,Omar Abu Arqub,Ali Hasan Ali,Husam A. Neamah	2024	13
7	Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic Brownian motion Results in Applied Mathematics ·Haneen Badawi,Omar Abu Arqub,Nabil Shawagfeh	2024	12
8	Investigating the invariant solutions of (1+1)-dimensional Sawada–Kotera model using Lie symmetries analysis Modern Physics Letters B ·Muhammad Nadeem,Shamoona Jabeen,Omar Abu Arqub	2024	4
9	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 ·Hind Sweis,Omar Abu Arqub,Nabil Shawagfeh	2024	5
10	Delay volterra integrodifferential models of fractional orders and exponential kernels: Well-posedness theoretical results and Legendre–Galerkin shifted approximations Modern Physics Letters B ·Hind Sweis,Nabil Shawagfeh,Omar Abu Arqub	2024	1
11	Existence, uniqueness, and galerkin shifted Legendre's approximation of time delays integrodifferential models by adapting the Hilfer fractional attitude Heliyon ·Hind Sweis,Nabil Shawagfeh,Omar Abu Arqub	2024	14
12	Hilfer fractional delay differential equations: Existence and uniqueness computational results and pointwise approximation utilizing the Shifted-Legendre Galerkin algorithm Alexandria Engineering Journal ·Hind Sweis,Omar Abu Arqub,Nabil Shawagfeh	2023	8
13	Uncertain M-fractional differential problems: existence, uniqueness, and approximations using Hilbert reproducing technique provisioner with the case application: series resistor-inductor circuit Physica Scripta ·Banan Maayah,Omar Abu Arqub	2023	25
14	A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations Chaos Solitons & Fractals ·Smina Djennadi,Nabil Shawagfeh,Omar Abu Arqub	2021	82
15	A novel analytical algorithm for generalized fifth-order time-fractional nonlinear evolution equations with conformable time derivative arising in shallow water waves Alexandria Engineering Journal ·Omar Abu Arqub,Mohammed Al‐Smadi,Hassan Almusawa,Dumitru Bǎleanu,Tasawar Hayat,Mohammed Sh. Alhodaly,M.S. Osman	2021	42
16	A numerical algorithm in reproducing kernel-based approach for solving the inverse source problem of the time–space fractional diffusion equation Partial Differential Equations in Applied Mathematics ·Smina Djennadi,Nabil Shawagfeh,Omar Abu Arqub	2021	25
17	An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative Communications in Theoretical Physics ·Mohammed Al‐Smadi,Omar Abu Arqub,Samir Hadid	2020	93
18	Numerical simulation of time-fractional partial differential equations arising in fluid flows via reproducing Kernel method International Journal of Numerical Methods for Heat &amp Fluid Flow ·Omar Abu Arqub	2019	120
19	The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations Mathematical Methods in the Applied Sciences ·Omar Abu Arqub	2016	92
20	Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators Advances in Mathematical Physics ·Banan Maayah,Samia Bushnaq,Shaher Momani,Omar Abu Arqub	2014	14

About Omar Abu Arqub

Omar Abu Arqub is a scholar working on Modeling and Simulation, Numerical Analysis and Applied Mathematics, having authored 144 papers that have together received 9.0k indexed citations. Recurring topics across this work include Fractional Differential Equations Solutions (128 papers), Differential Equations and Numerical Methods (59 papers), Nonlinear Differential Equations Analysis (40 papers), Iterative Methods for Nonlinear Equations (34 papers), Nonlinear Waves and Solitons (27 papers), Numerical methods for differential equations (22 papers), Fuzzy Systems and Optimization (19 papers) and Numerical methods in engineering (19 papers). The work is most often cited by research in Modeling and Simulation (5.3k citations), Numerical Analysis (2.9k citations) and Applied Mathematics (1.9k citations). Omar Abu Arqub has collaborated with scholars based in Jordan, Saudi Arabia and United Arab Emirates. Frequent co-authors include Mohammed Al‐Smadi, Shaher Momani, Ahmad El-Ajou, Zaer S. Abo‐Hammour, Banan Maayah, Nabil Shawagfeh, Tasawar Hayat, Mohammed Sh. Alhodaly, Zeyad Al–Zhour and Samir Hadid. Their work appears in journals such as SHILAP Revista de lepidopterología, PLoS ONE and Journal of Computational Physics.

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