H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 42 Citations 7,162 268 World Ranking 911 National Ranking 6

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

Hossein Jafari spends much of his time researching Mathematical analysis, Fractional calculus, Nonlinear system, Adomian decomposition method and Differential equation. His Fractional calculus study deals with the bigger picture of Applied mathematics. His Applied mathematics study combines topics in areas such as Variable, Algebraic equation and Chebyshev polynomials.

His research investigates the connection with Nonlinear system and areas like Partial differential equation which intersect with concerns in Homotopy analysis method. His Adomian decomposition method study incorporates themes from Numerical analysis, Series, Decomposition method and Combinatorics. Hossein Jafari combines subjects such as Fixed-point theorem and Uniqueness with his study of Differential equation.

His most cited work include:

  • An iterative method for solving nonlinear functional equations (278 citations)
  • Adomian decomposition: a tool for solving a system of fractional differential equations (215 citations)
  • Solving a multi-order fractional differential equation using adomian decomposition (160 citations)

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

His main research concerns Mathematical analysis, Applied mathematics, Nonlinear system, Fractional calculus and Differential equation. His Mathematical analysis research incorporates themes from Variational iteration method and Homotopy analysis method. The various areas that he examines in his Applied mathematics study include Derivative, Legendre polynomials, Algebraic equation and Collocation.

The Nonlinear system study combines topics in areas such as Scheme, Series, Discretization, Rate of convergence and Order. He focuses mostly in the field of Fractional calculus, narrowing it down to matters related to Collocation method and, in some cases, Work. His Differential equation study combines topics from a wide range of disciplines, such as Variable and Chebyshev polynomials.

He most often published in these fields:

  • Mathematical analysis (58.61%)
  • Applied mathematics (78.39%)
  • Nonlinear system (47.99%)

What were the highlights of his more recent work (between 2019-2021)?

  • Applied mathematics (78.39%)
  • Algebraic equation (24.91%)
  • Nonlinear system (47.99%)

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

Hossein Jafari mostly deals with Applied mathematics, Algebraic equation, Nonlinear system, Fractional calculus and Differential equation. His Applied mathematics research integrates issues from Derivative, Discretization, Legendre polynomials and Collocation. His research integrates issues of Bernstein polynomial, Integral equation, Basis function, Function and Polynomial in his study of Algebraic equation.

His Nonlinear system research is multidisciplinary, incorporating perspectives in Scheme, Type, Rate of convergence, Computation and Order. His Fractional calculus research is included under the broader classification of Mathematical analysis. In his study, which falls under the umbrella issue of Differential equation, Uniqueness is strongly linked to Variable.

Between 2019 and 2021, his most popular works were:

  • A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel (42 citations)
  • A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel (42 citations)
  • Mathematical models of HIV/AIDS and drug addiction in prisons (20 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

His primary areas of investigation include Applied mathematics, Differential equation, Algebraic equation, Collocation and Variable. His work focuses on many connections between Applied mathematics and other disciplines, such as Collocation method, that overlap with his field of interest in Discretization and Finite difference. His work in Differential equation is not limited to one particular discipline; it also encompasses Nonlinear system.

His research on Algebraic equation frequently links to adjacent areas such as Fractional calculus. His work in Fractional calculus tackles topics such as Chebyshev polynomials which are related to areas like Rate of convergence. His study on Collocation also encompasses disciplines like

  • Derivative which intersects with area such as Bernstein polynomial, Type, Operational matrix, Fractional differential and Mittag-Leffler function,
  • Function together with Legendre polynomials, Uniqueness and Basis function.

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

An iterative method for solving nonlinear functional equations

Varsha Daftardar-Gejji;Hossein Jafari.
Journal of Mathematical Analysis and Applications (2006)

504 Citations

Adomian decomposition: a tool for solving a system of fractional differential equations

Varsha Daftardar-Gejji;Hossein Jafari.
Journal of Mathematical Analysis and Applications (2005)

296 Citations

Solving a system of nonlinear fractional differential equations using Adomian decomposition

Hossein Jafari;Varsha Daftardar-Gejji.
Journal of Computational and Applied Mathematics (2006)

240 Citations

Solving a multi-order fractional differential equation using adomian decomposition

Varsha Daftardar-Gejji;Hossein Jafari.
Applied Mathematics and Computation (2007)

209 Citations

Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation

H. Jafari;S. Seifi.
Communications in Nonlinear Science and Numerical Simulation (2009)

200 Citations

Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

Hossein Jafari;Varsha Daftardar-Gejji.
Applied Mathematics and Computation (2006)

183 Citations

Application of Legendre wavelets for solving fractional differential equations

H. Jafari;S. A. Yousefi;M. A. Firoozjaee;S. Momani.
Computers & Mathematics With Applications (2011)

164 Citations

Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method

Hossein Jafari;Varsha Daftardar-Gejji.
Applied Mathematics and Computation (2006)

158 Citations

SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD

Hossein Jafari;Shaher Momani.
Physics Letters A (2007)

158 Citations

SOLVING A SYSTEM OF NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS USING HOMOTOPY ANALYSIS METHOD

H. Jafari;S. Seifi.
Communications in Nonlinear Science and Numerical Simulation (2009)

153 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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