Solving the Fractional Allen–Cahn Equation and the Fractional Cahn–Hilliard Equation with the Fractional Physics-Informed Neural Networks

In this paper, we present a computational framework based on fractional Physics-Informed Neural Networks combined with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>L</mi><mn>1</mn></mrow></semantics></math></inline-formula> approximation...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй

Үндсэн зохиолчид:	Xiaorong Kang, Yang Li, Yongzheng Li, Jinsong Hu, Kelong Zheng
Формат:	Artigo
Хэл сонгох:	Inglês
Хэвлэсэн:	MDPI AG 2025-11-01
Цуврал:	Fractal and Fractional
Нөхцлүүд:	fractional Physics-Informed Neural Networks Caputo fractional derivative fractional Allen–Cahn equation fractional Cahn–Hilliard equation optimization strategies
Онлайн хандалт:	https://www.mdpi.com/2504-3110/9/12/773
Шошгууд:	Шошго нэмэх Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!