Omar Abu Arqub

Modeling and Simulation · Chaos, Solitons & Fractals · 2012–2021

A researcher in the Science corpus: 24 papers; trusts 44 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Modeling and Simulation — 121 citations into it; #143 of 2,105 by trust here, #65 by citations
• Applied Mathematics — 95 citations into it; #1,274 of 7,620 by trust here, #327 by citations
• Numerical Analysis — 85 citations into it; #474 of 3,586 by trust here, #159 by citations
• Statistical and Nonlinear Physics — 44 citations into it
• Mechanics of Materials — 39 citations into it; #2,909 of 6,291 by trust here, #2,631 by citations
• Statistics and Probability — 31 citations into it; #5,665 of 12,932 by trust here, #2,531 by citations
• Computational Theory and Mathematics — 29 citations into it
• Statistical Learning Theory — 19 citations into it

Whom Omar Abu Arqub trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Daniel Alpay
2. M. Al‐Smadi
3. M. Cui
4. Abdon Atangana
5. Wei Jiang
6. Abdul-Majid Wazwaz
7. Shaher Momani
8. Fazhan Geng
9. John H. Holland
10. Zhong Chen

Who trusts Omar Abu Arqub overall

1. Nabil T. Shawagfeh
2. M. Al‐Smadi
3. Banan Maayah
4. Jagdev Singh
5. Marwan Alquran
6. Mohammed Alhodaly
7. Abdon Atangana
8. Iryna Komashynska
9. Za'er Salim Abo-Hammour
10. Sania Qureshi

Papers from Omar Abu Arqub's perspective

Ordered by how strongly the researchers Omar Abu Arqub trusts endorse each paper. Same corpus, a different order for every researcher.

1. Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations
2. Investigations of nonstandard, Mickens‐type, finite‐difference schemes for singular boundary value problems in cylindrical or spherical coordinates
3. Series Solution of Fuzzy Differential Equations under Strongly Generalized Differentiability
4. Nonlinear Numerical Analysis in Reproducing Kernel Space
5. Fractional Differential Equations
6. Adomian decomposition method for a reliable treatment of the Bratu-type equations (Applied Mathematics and Computation)
7. Fuzzy random variables (Information Sciences)
8. Genetic Algorithms in Search
9. Numerical Solution of Fuzzy Differential Equations
10. A note on fuzzy differential equations

Their papers

• Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (2015) — 369 citations
• Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations (2021) — 138 citations
• Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications (2021) — 87 citations
• Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator (2021) — 132 citations
• Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense (2019) — 106 citations
• Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates (2019) — 90 citations
• Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC – Fractional Volterra integro-differential equations (2019) — 111 citations
• APPLICATION OF REPRODUCING KERNEL ALGORITHM FOR SOLVING DIRICHLET TIME-FRACTIONAL DIFFUSION-GORDON TYPES EQUATIONS IN POROUS MEDIA (2019) — 136 citations
• Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis (2019) — 63 citations
• Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana–Baleanu fractional operator (2018) — 139 citations
• Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates (2018) — 80 citations
• Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions (2018) — 121 citations
• Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm (2018) — 85 citations
• Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm (2018) — 198 citations
• Atangana–Baleanu fractional approach to the solutions of Bagley–Torvik and Painlevé equations in Hilbert space (2018) — 161 citations
• Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space (2018) — 119 citations
• Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems (2017) — 314 citations
• Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations (2017) — 358 citations
• Analytical Approximations of Partial Differential Equations of Fractional Order with Multistep Approach (2016) — 52 citations
• An Optimization Algorithm for Solving Systems of Singular Boundary Value Problems (2014) — 92 citations