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Juan J. Nieto

Researcher at University of Santiago de Compostela

Publications -  542
Citations -  21208

Juan J. Nieto is an academic researcher from University of Santiago de Compostela. The author has contributed to research in topics: Boundary value problem & Nonlinear system. The author has an hindex of 68, co-authored 479 publications receiving 18079 citations. Previous affiliations of Juan J. Nieto include SIDI & University of Vigo.

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

TL;DR: It is proved the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a lower solution.

Properties of a New Fractional Derivative without Singular Kernel

TL;DR: In this article, the fractional integral corresponding to the new concept of fractional derivative was introduced, and some related fractional differential equations were studied in the context of the FDE.
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Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations

TL;DR: In this article, the Banach contractive mapping theorem for partially ordered sets is extended to nonincreasing mappings as well as non-monotone mappings, and the existence of a unique solution admitting a lower solution is proved.
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On the concept of solution for fractional differential equations with uncertainty

TL;DR: In this article, the authors consider a differential equation of fractional order with uncertainty and present the concept of solution, which extends, for example, the cases of first order ordinary differential equations and of differential equations with uncertainty.
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Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan.

TL;DR: Numerical simulations show the suitability of the proposed COVID-19 model for the outbreak that occurred in Wuhan, China.