Non-local Mathematical Models and Applications: A Theme Issue in Honor of Prof. Carlo Cattani

Dear Colleagues,

Mathematical models originate from concrete questions that arise in the industrial, economic, medical, biological, etc. and are often formulated using functional equations of various types, such as differential, integrodifferential, difference equations and in particular, for non-local aspects, differential equations with fractional operators. One of the fundamental problems in the approach to the numerical solution of such equations is the reconstruction of functions in one or more dimensions, as well as concrete problems starting from a robust theoretical foundation, and developing efficient methods and algorithms implementable, up to the construction of dedicated software. At the base of the various application models, and in this sense the cornerstone from which they express themselves and where many lines of research are founded, is precisely the Theory of Approximation.

The Special Issue is honoring Prof. Carlo Cattani (Habil. Full Professor, since 2017), Professor of Mathematical Physics and Applied Mathematics at the Department of Economics, Engineering, Society and Enterprise (DEIM) of Tuscia University (VT), Italy, since 2015. He was previously appointed as professor/research fellow at the Dept. of Mathematics of University of Rome “La Sapienza” (1980–2004) and Dept. of Mathematics, University of Salerno (2004–2015). He was a Research Fellow at the Italian Council of Research, CNR, in 1978–1980 and Visiting Research Fellow at the Physics Institute of the Stockholm University (1987–1988). His main scientific research interests are numerical and computational methods, mathematical models and methods, time series and data analysis, and computer methods and simulations. He is the author of more than 270 scientific papers on international journals and co-author of several books. He has made significant contributions to fundamental topics such as numerical methods, dynamical systems, fractional calculus, fractals, wavelets, nonlinear waves, and data analysis. He is the Editor-in-Chief of the journals Fractal and Fractional and Information Sciences Letters and is also serving as Editor at Several International Scientific Journals. He was awarded Honorary Professor at the Azerbaijan University (2019) and at the BSP University, Ufa-Russia (2009) for “his contribution in research and international cooperation”, and (in 2018) as adjunct Professor at the Ton Duc Thang University—HCMC Vietnam. For his many achievements in research (H-index: Scopus (41), WoS (36), Google Scholar (47)), he was listed in the 2020 World Ranking of Scientists (Top 2%), ranking 85th (3d in Italy) for numerical and computational mathematics, and 16th over 335 Italian mathematicians of this list.

Prof. Dr. Clemente Cesarano
Guest Editor

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