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Nieto's work may be considered to fall under the ambit of differential equations. His research interests are in fractional calculus, fuzzy equations and epidemiological models. He is one of the most cited mathematicians in the world according to Web of Knowledge and appears in the Thompson Reuters Highly Cited Researchers list. Nieto has also occupied different positions in the University of Santiago de Compostela, such as Dean of Mathematics and Director of the Mathematical Institute. He has also participated as editor in different mathematical journals, being Editor in Chief of the journal Nonlinear Analysis: Real World Applications from 2009 to 2012. In 2016, Nieto was admitted as a Fellow of the Royal Galician Academy of Sciences
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