What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Differential equation
- Nonlinear system
His scientific interests lie mostly in Mathematical analysis, Boundary value problem, Nonlinear system, Differential equation and Fractional calculus.
Juan J. Nieto focuses mostly in the field of Mathematical analysis, narrowing it down to topics relating to Fuzzy logic and, in certain cases, Numerical analysis.
The concepts of his Boundary value problem study are interwoven with issues in Monotone polygon and Existence theorem.
His Nonlinear system course of study focuses on Dirichlet boundary condition and Dirichlet distribution.
His Differential equation study combines topics from a wide range of disciplines, such as Maximum principle and Periodic boundary conditions.
His work deals with themes such as Order and Singular kernel, which intersect with Fractional calculus.
His most cited work include:
- Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations (891 citations)
- Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations (461 citations)
- Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions (385 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Mathematical analysis, Boundary value problem, Nonlinear system, Applied mathematics and Differential equation.
His study in Fixed-point theorem, Fractional calculus, Numerical partial differential equations, Uniqueness and Ordinary differential equation is carried out as part of his Mathematical analysis studies.
His Boundary value problem study combines topics in areas such as Type, Order and Monotone polygon.
His Nonlinear system research includes elements of Langevin equation and Critical point.
His Applied mathematics study integrates concerns from other disciplines, such as Stability and Fuzzy logic.
Juan J. Nieto combines topics linked to Initial value problem with his work on Differential equation.
He most often published in these fields:
- Mathematical analysis (75.86%)
- Boundary value problem (31.99%)
- Nonlinear system (30.65%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (27.59%)
- Mathematical analysis (75.86%)
- Nonlinear system (30.65%)
In recent papers he was focusing on the following fields of study:
Applied mathematics, Mathematical analysis, Nonlinear system, Fixed-point theorem and Uniqueness are his primary areas of study.
He interconnects Fuzzy logic, Fixed point, Stability and Differential equation in the investigation of issues within Applied mathematics.
In most of his Mathematical analysis studies, his work intersects topics such as Type.
The various areas that Juan J. Nieto examines in his Nonlinear system study include Integral equation and Kernel.
His studies deal with areas such as Fractional differential, Boundary value problem, Measure and Banach space as well as Fixed-point theorem.
As a part of the same scientific family, Juan J. Nieto mostly works in the field of Uniqueness, focusing on Monotone polygon and, on occasion, Metric space.
Between 2017 and 2021, his most popular works were:
- Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan. (185 citations)
- Modeling and forecasting the COVID-19 pandemic in India (108 citations)
- The urgent need for integrated science to fight COVID-19 pandemic and beyond. (66 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Differential equation
- Nonlinear system
The scientist’s investigation covers issues in Mathematical analysis, Nonlinear system, Applied mathematics, Fixed-point theorem and Fractional calculus.
Juan J. Nieto undertakes interdisciplinary study in the fields of Mathematical analysis and Porous medium through his works.
His work carried out in the field of Nonlinear system brings together such families of science as Uniqueness and Ordinary differential equation.
The Applied mathematics study combines topics in areas such as Initial value problem, Fixed point, Partial differential equation, Stability and Fuzzy logic.
His Initial value problem research is multidisciplinary, incorporating elements of Computational intelligence and Differential equation.
His Fixed-point theorem research is multidisciplinary, relying on both Langevin equation, Fractional differential and Banach space.
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