H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 73 Citations 17,336 282 World Ranking 100 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Differential equation
  • Partial differential equation

His main research concerns Mathematical analysis, Fractional calculus, Differential equation, Nonlinear system and Adomian decomposition method. His study in Numerical partial differential equations, Numerical analysis, First-order partial differential equation, Convergent series and Decomposition method falls within the category of Mathematical analysis. His Numerical partial differential equations study combines topics from a wide range of disciplines, such as Differential algebraic equation, Geometric analysis, Exponential integrator, Variational iteration method and Stochastic partial differential equation.

His work carried out in the field of Fractional calculus brings together such families of science as Partial differential equation, Series and Homotopy analysis method. In the subject of general Nonlinear system, his work in Sliding mode control is often linked to Fractional programming, thereby combining diverse domains of study. The study incorporates disciplines such as Initial value problem and Burgers' equation in addition to Adomian decomposition method.

His most cited work include:

  • Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order (585 citations)
  • Application of He’s variational iteration method to Helmholtz equation (424 citations)
  • Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order (335 citations)

What are the main themes of his work throughout his whole career to date?

Mathematical analysis, Applied mathematics, Fractional calculus, Nonlinear system and Differential equation are his primary areas of study. His work in Mathematical analysis tackles topics such as Homotopy analysis method which are related to areas like Homotopy perturbation method. His Applied mathematics study combines topics in areas such as Lyapunov exponent, Series, Hilbert space, Power series and Order.

His study on Fractional calculus also encompasses disciplines like

  • Partial differential equation that intertwine with fields like Ordinary differential equation,
  • Order that intertwine with fields like Control theory. His Nonlinear system study integrates concerns from other disciplines, such as Simple and Sequence. His research investigates the connection between Numerical partial differential equations and topics such as Stochastic partial differential equation that intersect with issues in Collocation method.

He most often published in these fields:

  • Mathematical analysis (46.83%)
  • Applied mathematics (54.68%)
  • Fractional calculus (48.34%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (54.68%)
  • Fractional calculus (48.34%)
  • Nonlinear system (37.46%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Applied mathematics, Fractional calculus, Nonlinear system, Power series and Series. His Applied mathematics research is multidisciplinary, incorporating perspectives in Partial differential equation, Lyapunov exponent, Chebyshev polynomials and Attractor. His Fractional calculus research includes elements of Conformable matrix, Hilbert space, Sobolev space, Range and Function.

His Nonlinear system research is multidisciplinary, incorporating elements of Operator, Mathematical analysis and Computational fluid dynamics. His Mathematical analysis research incorporates themes from Dispersion, Connection and Dynamics. The various areas that he examines in his Series study include Uniform convergence, Variational method and Differential equation.

Between 2018 and 2021, his most popular works were:

  • Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems (56 citations)
  • Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems (56 citations)
  • Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative (46 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Partial differential equation
  • Differential equation

His primary areas of study are Applied mathematics, Power series, Fractional calculus, Nonlinear system and Partial differential equation. His Applied mathematics research incorporates elements of Lyapunov exponent, Phase portrait, Computer simulation and Attractor. His biological study spans a wide range of topics, including Series and Residual.

His Fractional calculus research integrates issues from Function and Conformable matrix. His work in Nonlinear system addresses issues such as Computational fluid dynamics, which are connected to fields such as Korteweg–de Vries equation, Burgers' equation, Ideal solution, Wave equation and Convergent series. His Partial differential equation research is multidisciplinary, relying on both Series expansion and Ordinary differential equation.

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.

Top Publications

Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order

Ζ.Μ. Odibat;S. Momani.
International Journal of Nonlinear Sciences and Numerical Simulation (2006)

811 Citations

Application of He’s variational iteration method to Helmholtz equation

Shaher Momani;Salah Abuasad.
Chaos Solitons & Fractals (2006)

547 Citations

HOMOTOPY ANALYSIS METHOD FOR FRACTIONAL IVPS

Ishak Hashim;O. Abdulaziz;S. Momani.
Communications in Nonlinear Science and Numerical Simulation (2009)

453 Citations

Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

Zaid Odibat;Shaher Momani.
Chaos Solitons & Fractals (2008)

450 Citations

Homotopy perturbation method for nonlinear partial differential equations of fractional order

Shaher Momani;Zaid Odibat.
Physics Letters A (2007)

401 Citations

Numerical comparison of methods for solving linear differential equations of fractional order

Shaher Momani;Zaid Odibat.
Chaos Solitons & Fractals (2007)

389 Citations

A generalized differential transform method for linear partial differential equations of fractional order

Zaid Odibat;Shaher Momani.
Applied Mathematics Letters (2008)

342 Citations

Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method

Shaher Momani;Zaid Odibat.
Applied Mathematics and Computation (2006)

319 Citations

Analytical approach to linear fractional partial differential equations arising in fluid mechanics

Shaher Momani;Zaid Odibat.
Physics Letters A (2006)

287 Citations

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)

269 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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