Collection
Advances in Fractional Laplacian Operator: Theory and Application
In recent years, there has been a great deal of interest in using the fractional Laplacian operator to model diverse physical phenomena, such as anomalous diffusion and quasi-geostrophic flows, turbulence and water waves, molecular dynamics, partial differential equations, long-range interactions, and relativistic non-quantum theories.
There is also the physical meaning of the fractional Laplacian operator in bounded domains through its associated stochastic processes. It also has various applications in probability and finance. In particular, the fractional Laplacian can be understood as the infinitesimal generator of a stable Lévy diffusion process and appears in anomalous diffusions in plasmas, flames propagation and chemical reactions in liquids, population dynamics, geographical fluid dynamics, and other fractional models.
In this collection, we aim to welcome contributions from the speakers/presenters of the ICRDET 2022 who follow jointly the theoretical and computational approach to examining the different characteristics of different fractional Laplacian operators and solutions of related fractional equations formulated on bounded domains. This will include the spectral and horizon-based nonlocal definitions of the fractional Laplacian as well as various formulations of the Riesz fractional Laplacian.
Editors
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Praveen Agarwal
Anand International College of Engineering (India)
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Valentina Emilia Balas
University of Arad (Romania)
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Carla M.A. Pinto
Instituto Superior de Engenharia do Porto (Portugal)
