Remarks on parabolic equation with the conformable variable derivative in Hilbert scales

Remarks on parabolic equation with the conformable variable derivative in Hilbert scales

In this paper, we are interested in diffusion equations with conformable derivatives with variable order. We will study two different types of models: the initial value model and the nonlocal in time model. With different values of input values, we investigate the well-posedness of the mild solution...

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Bibliographic Details
Main Authors: Phuong Nguyen Duc, Ahmet Ocak Akdemir, Van Tien Nguyen, Anh Tuan Nguyen
Format: Article
Language:English
Published: AIMS Press 2022-09-01
Series:AIMS Mathematics
Subjects:
parabolic equations
conformable derivative
variable order fractional derivatives
variable order derivative
sobolev embeddings
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20221095?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20221095?viewType=HTML

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