What is it about?
Is an initial-boundary value problem for a stochastic evolution equation with fractional Laplacian and white noise on the first quadrant. Existence and uniqueness is proved and Monte Carlo methods are implemented to find numerical solutions for particular examples.
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Why is it important?
The fractional Laplacian provides us with a powerful tool for mathematical modeling; however, the general subject is still emerging and a number of conceptual and computational issues require further elaboration.
Perspectives
I hope this article leads to future work in this emerging subject which is rich in applications.
Martin P Arciga-Alejandre
Universidad Autonoma de Guerrero
Read the Original
This page is a summary of: Stochastic diffusion equation with fractional Laplacian on the first quadrant, Fractional Calculus and Applied Analysis, June 2019, De Gruyter,
DOI: 10.1515/fca-2019-0043.
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