Weak solution for nonlinear fractional p(.)-Laplacian problem with variable order via Rothe's time-discretization method

Autor: Abdelali Sabri
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematical Modelling and Analysis, Vol 27, Iss 4 (2022)
Druh dokumentu: article
ISSN: 1392-6292
1648-3510
DOI: 10.3846/mma.2022.15740
Popis: In this paper, we prove the existence and uniqueness results of weak solutions to a class of nonlinear fractional parabolic p(.)-Laplacian problem with variable order. The main tool used here is the Rothe’s method combined with the theory of variable-order fractional Sobolev spaces with variable exponent.
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