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- Juan J. Nieto

Mathematics

Spain

2023

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
83
Citations
23,526
480
World Ranking
79
National Ranking
1

2023 - Research.com Mathematics in Spain Leader Award

2022 - Research.com Mathematics in Spain Leader Award

- 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.

- 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)

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.

- Mathematical analysis (75.86%)
- Boundary value problem (31.99%)
- Nonlinear system (30.65%)

- Applied mathematics (27.59%)
- Mathematical analysis (75.86%)
- Nonlinear system (30.65%)

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.

- 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)

- 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.

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.

Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

Juan J. Nieto;Rosana Rodríguez-López.

Order **(2005)**

1577 Citations

Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations

Juan J. Nieto;Rosana Rodríguez-López.

Acta Mathematica Sinica **(2007)**

854 Citations

Properties of a New Fractional Derivative without Singular Kernel

Jorge Losada;Juan J. Nieto;Saudi Arabia.

Progress in Fractional Differentiation & Applications **(2015)**

755 Citations

On the concept of solution for fractional differential equations with uncertainty

Ravi P. Agarwal;V. Lakshmikantham;Juan J. Nieto.

Nonlinear Analysis-theory Methods & Applications **(2010)**

642 Citations

Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Bashir Ahmad;Juan J. Nieto.

Computers & Mathematics With Applications **(2009)**

610 Citations

Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan.

Faïçal Ndaïrou;Faïçal Ndaïrou;Iván Area;Juan J. Nieto;Delfim F.M. Torres.

Chaos Solitons & Fractals **(2020)**

539 Citations

Variational approach to impulsive differential equations

Juan J. Nieto;Donal O’Regan.

Nonlinear Analysis-real World Applications **(2009)**

506 Citations

Analysis of a delayed epidemic model with pulse vaccination and saturation incidence.

Shujing Gao;Lansun Chen;Juan J. Nieto;Angela Torres.

Vaccine **(2006)**

353 Citations

Some new existence results for fractional differential inclusions with boundary conditions

Yong-Kui Chang;Juan J. Nieto.

Mathematical and Computer Modelling **(2009)**

301 Citations

Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions

Bashir Ahmad;Juan J. Nieto.

Boundary Value Problems **(2009)**

300 Citations

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