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
收藏
页码：105 / 123
页数：19
相关论文
共 46 条
  • [31] Recent history of fractional calculus
    Machado, J. Tenreiro
    Kiryakova, Virginia
    Mainardi, Francesco
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) : 1140 - 1153
  • [32] The random walk's guide to anomalous diffusion: a fractional dynamics approach
    Metzler, R
    Klafter, J
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 339 (01): : 1 - 77
  • [33] Miller S. K., 1993, An introduction to the fractional calculus and fractional differential equations
  • [34] Momani S.M., 2003, J. Fract. Calc, V24, P37
  • [35] Momani S.M., 2004, Int. J. Math. Math. Sci, V2004, P697
  • [36] Oussaeif T., 2018, KHAYYAM J MATH, V4, P198, DOI [10.22034/kjm.2018.65161, DOI 10.22034/KJM.2018.65161]
  • [37] Oussaeif T. E., 2015, J. Nonlinear Evol. Equ. Appl., V3, P31
  • [38] Oussaeif T.-E., INT J EVOLUTION EQUA, V9, P181
  • [39] Oussaeif T. E., 2016, Electron J. Diff. Equ, V138, P1
  • [40] Mixed Problem with an Integral Two-Space-Variables Condition for a Class of Hyperbolic Equations
    Oussaeif, Taki-Eddine
    Bouziani, Abdelfatah
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
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