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.

引用

页码：105 / 123

页数：19

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