A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation

被引：1

作者：

Abdelouahab, Benbrahim ^{[1
]}

Oussaeif, Taki-Eddine ^{[1
]}

Ouannas, Adel ^{[1
]}

Saad, Khaled M. ^{[2
]}

Jahanshahi, Hadi ^{[3
]}

Diar, Ahmed ^{[1
]}

Aljuaid, Awad M. ^{[4
]}

Aly, Ayman A. ^{[5
]}

机构：

[1] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria

[2] Taiz Univ, Fac Appl Sci, Dept Math, Taizi, Yemen

[3] Univ Manitoba, Dept Mech Engn, Winnipeg, MB R3T 5V6, Canada

[4] Taif Univ, Coll Engn, Dept Ind Engn, POB 11099, At Taif 21944, Saudi Arabia

[5] Taif Univ, Coll Engn, Dept Mech Engn, POB 11099, At Taif 21944, Saudi Arabia

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

SPECTRAL METHOD; WEAK SOLUTION; SOLVABILITY;

D O I：

10.1155/2022/2913587

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this research is to demonstrate the existence and the uniqueness of the weak solution for a semilinear fractional parabolic problem with the special case of the second integral boundary condition. For this aim, we split the proof into two parts; to study the main linear problem part, we used the variable separation method, and concerning the semilinear problem part, we apply an iterative method and a priori estimate for the study of the weak solution.

引用

页数：9

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