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

共 50 条

[1] Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation
Zhang, Zhi-Yong
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 476 (2233):
[2] Stabilization and uncertainty analysis of a time-fractional reaction diffusion equation cascaded with a time-fractional hyperbolic partial differential equation
Chen, Juan
Zhuang, Bo
Tepljakov, Aleksei
Petlenkov, Eduard
ASIAN JOURNAL OF CONTROL, 2022, 24 (05) : 2294 - 2310
[3] Inverse problem for a time-fractional differential equation with a time- and space-integral conditions
Kirane, Mokhtar
Lopushansky, Andriy
Lopushanska, Halyna
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (15) : 16381 - 16393
[4] A finite difference scheme for the nonlinear time-fractional partial integro-differential equation
Guo, Jing
Xu, Da
Qiu, Wenlin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 3392 - 3412
[5] On Time-Fractional Cylindrical Nonlinear Equation
HGAbdelwahed
EKElShewy
AAMahmoud
Chinese Physics Letters, 2016, 33 (11) : 66 - 70
[6] On a nonlinear time-fractional cable equation
Jleli, Mohamed
Samet, Bessem
AIMS MATHEMATICS, 2024, 9 (09): : 23584 - 23597
[7] Solution of a multidimensional Abel integral equation of the second kind with partial fractional integrals
A. V. Pskhu
Differential Equations, 2017, 53 : 1160 - 1164
[8] Solution of a multidimensional Abel integral equation of the second kind with partial fractional integrals
Pskhu, A. V.
DIFFERENTIAL EQUATIONS, 2017, 53 (09) : 1160 - 1164
[9] On Time-Fractional Cylindrical Nonlinear Equation
H.G.Abdelwahed
E.K.ElShewy
A.A.Mahmoud
Chinese Physics Letters, 2016, (11) : 66 - 70
[10] On Time-Fractional Cylindrical Nonlinear Equation
Abdelwahed, H. G.
ElShewy, E. K.
Mahmoud, A. A.
CHINESE PHYSICS LETTERS, 2016, 33 (11)

← 1 2 3 4 5 →