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 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.
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.
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
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An iterative method for solving nonlinear functional equations
Varsha Daftardar-Gejji;Hossein Jafari.
Journal of Mathematical Analysis and Applications (2006)
Adomian decomposition: a tool for solving a system of fractional differential equations
Varsha Daftardar-Gejji;Hossein Jafari.
Journal of Mathematical Analysis and Applications (2005)
Solving a system of nonlinear fractional differential equations using Adomian decomposition
Hossein Jafari;Varsha Daftardar-Gejji.
Journal of Computational and Applied Mathematics (2006)
Solving a multi-order fractional differential equation using adomian decomposition
Varsha Daftardar-Gejji;Hossein Jafari.
Applied Mathematics and Computation (2007)
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
H. Jafari;S. Seifi.
Communications in Nonlinear Science and Numerical Simulation (2009)
Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
Hossein Jafari;Varsha Daftardar-Gejji.
Applied Mathematics and Computation (2006)
Application of Legendre wavelets for solving fractional differential equations
H. Jafari;S. A. Yousefi;M. A. Firoozjaee;S. Momani.
Computers & Mathematics With Applications (2011)
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)
SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD
Hossein Jafari;Shaher Momani.
Physics Letters A (2007)
Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
Hossein Jafari;Varsha Daftardar-Gejji.
Applied Mathematics and Computation (2006)
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