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2022 / March Volume 17 No.1
Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems
Published Date
2022 / March
Title
Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems
Author
Bourabta Ahmed, Oussaeif Taki-Eddine, Rezzoug Imad, Chebana Zainouba
Keyword
Partial fractional differential equation, Energy inequality, Existence, Uniqueness, singular and degenerate equation
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Pagination
105-123
Abstract
In this paper, we establish the existence and uniqueness of the weak solution infunctional weighted Sobolev space for a class of initial-boundary value degenerate and singular fractional semi-linear parabolic problems. The results are established by using apriori estimate and applying an iterative process based on results obtained for the linear problem.
DOI
10.21915/BIMAS.2022104
https://doi.org/10.21915/BIMAS.2022104
AMS Subject
Classification
35R11, 35K58, 35K67
Received
2021-12-26
Accepted
2022-03-20
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