What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (41.89%)
- Applied mathematics (45.95%)
- Reproducing kernel Hilbert space (39.19%)
What were the highlights of his more recent work (between 2019-2021)?
- Fuzzy logic (25.68%)
- Applied mathematics (45.95%)
- Differentiable function (13.51%)
In recent papers he was focusing on the following fields of study:
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.
Between 2019 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
