Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems
by Bourabta Ahmed   Oussaeif Taki-Eddine   Rezzoug Imad   Chebana Zainouba  

Vol. 17 No. 1 (2022) P.105~P.123

DOI:	https://doi.org/10.21915/BIMAS.2022104
	10.21915/BIMAS.2022104

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.

KEYWORDS
Partial fractional differential equation, Energy inequality, Existence, Uniqueness, singular and degenerate equation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35R11, 35K58, 35K67

MILESTONES

Received: 2021-12-26
Revised :
Accepted: 2022-03-20

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