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- Hossein Jafari

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

Mathematics
D-index
40
Citations
7,033
242
World Ranking
1373
National Ranking
6

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

An iterative method for solving nonlinear functional equations

Varsha Daftardar-Gejji;Hossein Jafari.

Journal of Mathematical Analysis and Applications **(2006)**

599 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)**

336 Citations

Solving a system of nonlinear fractional differential equations using Adomian decomposition

Hossein Jafari;Varsha Daftardar-Gejji.

Journal of Computational and Applied Mathematics **(2006)**

262 Citations

Solving a multi-order fractional differential equation using adomian decomposition

Varsha Daftardar-Gejji;Hossein Jafari.

Applied Mathematics and Computation **(2007)**

226 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)**

206 Citations

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

Hossein Jafari;Varsha Daftardar-Gejji.

Applied Mathematics and Computation **(2006)**

203 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)**

191 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)**

176 Citations

SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD

Hossein Jafari;Shaher Momani.

Physics Letters A **(2007)**

162 Citations

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

Hossein Jafari;Varsha Daftardar-Gejji.

Applied Mathematics and Computation **(2006)**

160 Citations

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