SOLVABILITY OF SOLUTION OF SINGULAR AND DEGENERATE FRACTIONAL NONLINEAR PARABOLIC DIRICHLET PROBLEMS

被引：0
作者：
Ahmed, Bourabta [1 ,2 ,3 ]
Taki-Eddine, Oussaeif [1 ,2 ,3 ]
Imad, Rezzoug [1 ,2 ,3 ]
Zainouba, Chebana [1 ,2 ,3 ]
机构：
[1] Larbi Ben Mhidi Univ, Dept Math & Informat, Oum El Bouaghi, Algeria
[2] Dynam & Control Syst Lab, Oum El Bouaghi, Algeria
[3] Oum El Bouaghi Univ, Oum El Bouaghi, Algeria
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2022年 / 17卷 / 01期
关键词：
Partial fractional differential equation; energy inequality; existence; uniqueness; singular and degenerate equation; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SPECTRAL METHOD; WEAK SOLUTION; DIFFUSION; EXISTENCE; ORDER; UNIQUENESS;
D O I：
10.21915/BIMAS.2022104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the existence and uniqueness of the weak solution in functional weighted Sobolev space for a class of initial-boundary value degenerate and singular fractional semi-linear parabolic problems. The results are established by using a priori estimate and applying an iterative process based on results obtained for the linear problem.
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收藏
页码：105 / 123
页数：19
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