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.
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