A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation
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 u...
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2913587 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565815606509568 |
|---|---|
| author | Benbrahim Abdelouahab Taki-Eddine Oussaeif Adel Ouannas Khaled M. Saad Hadi Jahanshahi Ahmed Diar Awad M. Aljuaid Ayman A. Aly |
| author_facet | Benbrahim Abdelouahab Taki-Eddine Oussaeif Adel Ouannas Khaled M. Saad Hadi Jahanshahi Ahmed Diar Awad M. Aljuaid Ayman A. Aly |
| author_sort | Benbrahim Abdelouahab |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ca0ad5d0519f433db456730ed75d4a37 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ca0ad5d0519f433db456730ed75d4a372025-02-03T01:06:38ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2913587A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential EquationBenbrahim Abdelouahab0Taki-Eddine Oussaeif1Adel Ouannas2Khaled M. Saad3Hadi Jahanshahi4Ahmed Diar5Awad M. Aljuaid6Ayman A. Aly7Department of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceDepartment of Mathematics and Computer ScienceDepartment of MathematicsDepartment of Mechanical EngineeringDepartment of Mathematics and Computer ScienceDepartment of Industrial EngineeringDepartment of Mechanical EngineeringThe 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.http://dx.doi.org/10.1155/2022/2913587 |
| spellingShingle | Benbrahim Abdelouahab Taki-Eddine Oussaeif Adel Ouannas Khaled M. Saad Hadi Jahanshahi Ahmed Diar Awad M. Aljuaid Ayman A. Aly A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation Journal of Function Spaces |
| title | A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation |
| title_full | A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation |
| title_fullStr | A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation |
| title_full_unstemmed | A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation |
| title_short | A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation |
| title_sort | nonlinear fractional problem with a second kind integral condition for time fractional partial differential equation |
| url | http://dx.doi.org/10.1155/2022/2913587 |
| work_keys_str_mv | AT benbrahimabdelouahab anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT takieddineoussaeif anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT adelouannas anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT khaledmsaad anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT hadijahanshahi anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT ahmeddiar anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT awadmaljuaid anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT aymanaaly anonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT benbrahimabdelouahab nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT takieddineoussaeif nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT adelouannas nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT khaledmsaad nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT hadijahanshahi nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT ahmeddiar nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT awadmaljuaid nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation AT aymanaaly nonlinearfractionalproblemwithasecondkindintegralconditionfortimefractionalpartialdifferentialequation |