Inverse problems of anomalous diffusion theory: An artificial neural network approach

DOI10.1134/S1990478916030017zbMath1374.35435MaRDI QIDQ2959193

T. V. Bugueva, Anatoly N. Bondarenko, V. A. Dedok

Publication date: 9 February 2017

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse problemanomalous diffusionartificial neural network

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Diffusion processes (60J60) Fractional partial differential equations (35R11)

Related Items (1)

Numerical identification of order of the fractional time derivative in a subdiffusion model

Cites Work

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• Fractional integral and its physical interpretation
• The fundamental solutions for the fractional diffusion-wave equation
• The determination of an unknown boundary condition in a fractional diffusion equation
• Random Walks on Lattices. II
• Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• Generalized Sommerfeld problem for time fractional diffusion equation: analytical and numerical approach
• Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient
• A tutorial on inverse problems for anomalous diffusion processes
• An Inverse Vibration Problem Solved by an Artificial Neural Network
• Discrete and continuous random walk models for space-time fractional diffusion
• Fractional diffusion: probability distributions and random walk models
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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