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May 29, 2026Nonlinear Differential Equations and Applications NoDEA0 citationsOpen Access

Boundary-Driven Stochastic Fractional CGL Equations with Non-Gaussian Noise

Boundary-driven stochastic fractional CGL equations with non-Gaussian noise on multidimensional domains

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Authors

JCJ.F. Carreño-DiazEKE.I. Kaikina

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Overview

Randomized trial investigates stochastic fractional equations, showcasing behavior in complex systems with implications for transport phenomena.

Key Points

  • This research aims to analyze stochastic nonlinear fractional CGL equations with non-Gaussian noise in multidimensional spaces.
  • Develop a framework using Itô calculus and Laplace-transform methods.
  • Construct well-posed mild solutions under minimal smoothness conditions.
  • Analyze long-time behavior and derive probabilistic a priori bounds.
  • Characterized decay rates for mild solutions of the stochastic equations.
  • Identified stochastic regularization effects driven by the fractional Laplacian.
  • Established probabilistic bounds indicating stability of solutions under non-centered boundary noise.

Cite This Study

Carreño-Diaz et al. (2026) studied this question.

synapsesocial.com/papers/6a192ee7fab5b468c4418359https://doi.org/10.1007/s00030-026-01234-y
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