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- Omar Abu Arqub

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Rising Stars
D-index
38
Citations
4,955
68
World Ranking
683
National Ranking
2

Mathematics
D-index
50
Citations
6,940
100
World Ranking
810
National Ranking
1

2022 - Research.com Rising Star of Science Award

- Mathematical analysis
- Algebra
- Partial differential equation

His primary areas of study are Mathematical analysis, Series, Reproducing kernel Hilbert space, Boundary value problem and Applied mathematics. Omar Abu Arqub interconnects Algorithm and Gram–Schmidt process in the investigation of issues within Series. The study incorporates disciplines such as Fredholm theory, Representer theorem, Kernel embedding of distributions, Iterative method and Discretization in addition to Reproducing kernel Hilbert space.

His research in Boundary value problem intersects with topics in Fractional-order system and Finite difference. His Applied mathematics study combines topics in areas such as Simulated annealing, Orthonormal basis, Orthogonal basis, Order and Hilbert space. The concepts of his Fractional calculus study are interwoven with issues in Recurrence relation, Power series and Simple.

- Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (246 citations)
- Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations (197 citations)
- Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems (193 citations)

Omar Abu Arqub mainly focuses on Mathematical analysis, Applied mathematics, Reproducing kernel Hilbert space, Boundary value problem and Series. His Mathematical analysis research includes elements of Iterative method and Homotopy analysis method. His work focuses on many connections between Applied mathematics and other disciplines, such as Orthonormal basis, that overlap with his field of interest in Gram–Schmidt process and Simulated annealing.

His studies in Reproducing kernel Hilbert space integrate themes in fields like Representer theorem, Initial value problem, Space and Differential equation. His work on Periodic boundary conditions as part of general Boundary value problem study is frequently linked to Singular boundary method and Point, therefore connecting diverse disciplines of science. His Series research incorporates elements of Algorithm, Simple and Fractional calculus.

- Mathematical analysis (41.89%)
- Applied mathematics (45.95%)
- Reproducing kernel Hilbert space (39.19%)

- Fuzzy logic (25.68%)
- Applied mathematics (45.95%)
- Differentiable function (13.51%)

Omar Abu Arqub mainly investigates Fuzzy logic, Applied mathematics, Differentiable function, Reproducing kernel Hilbert space and Work. Fuzzy logic is intertwined with Convergent series, Algorithm, Membership function, Duffing equation and Series in his research. His work on Fractional calculus as part of general Applied mathematics research is frequently linked to Adaptation, thereby connecting diverse disciplines of science.

Omar Abu Arqub has included themes like Extrapolation, Uniqueness and Orientation in his Fractional calculus study. His Derivative research is within the category of Mathematical analysis. His studies deal with areas such as Power series and Residual as well as Conformable matrix.

- Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions (53 citations)
- An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative (17 citations)
- Approximate solutions of nonlinear fractional Kundu-Eckhaus and coupled fractional massive Thirring equations emerging in quantum field theory using conformable residual power series method (8 citations)

- Mathematical analysis
- Algebra
- Partial differential equation

Omar Abu Arqub spends much of his time researching Conformable matrix, Mathematical analysis, Power series, Residual and Quantum field theory. His Conformable matrix study frequently intersects with other fields, such as Differentiable function. His work deals with themes such as Applied mathematics, Uniqueness, Reproducing kernel Hilbert space and Orientation, which intersect with Differentiable function.

There are a combination of areas like Analytical technique, Partial differential equation and Derivative integrated together with his Waves and shallow water study. Omar Abu Arqub integrates many fields, such as Fuzzy logic and engineering, in his works.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

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

soft computing **(2016)**

346 Citations

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

Omar Abu Arqub.

Neural Computing and Applications **(2017)**

300 Citations

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.

soft computing **(2017)**

298 Citations

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

Omar Abu Arqub;Za'er Salim Abo-Hammour.

Information Sciences **(2014)**

294 Citations

Approximate analytical solution of the nonlinear fractional KdV-Burgers equation

Ahmad El-Ajou;Omar Abu Arqub;Shaher Momani.

Journal of Computational Physics **(2015)**

262 Citations

New Results on Fractional Power Series: Theory and Applications

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

Entropy **(2013)**

192 Citations

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

Omar Abu Arqub;Mohammed Al-Smadi.

Chaos Solitons & Fractals **(2018)**

168 Citations

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

Omar Abu Arqub;Mohammed Al-Smadi;Nabil Shawagfeh.

Applied Mathematics and Computation **(2013)**

164 Citations

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

Omar Abu Arqub;Ahmad El-Ajou;Shaher Momani.

Journal of Computational Physics **(2015)**

162 Citations

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

Omar Abu Arqub.

Fundamenta Informaticae **(2019)**

161 Citations

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