Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations
The theory of Banach contraction and the fixed point theorems of Schaefer are used to explain the behavior of positive solutions for the nonlinear differential equation of fractional order and the minimal values. Our main result is the presence and uniqueness of positive solution of the above equati...
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| Format: | Article |
| Language: | English |
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Mosul University
2021-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.uomosul.edu.iq/article_168348_ac9940c6ce3537a0f56022f908b92242.pdf |
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| _version_ | 1849468507122565120 |
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| author | Noora Housain Hanan Mohammed Nadia Abdulrazaq |
| author_facet | Noora Housain Hanan Mohammed Nadia Abdulrazaq |
| author_sort | Noora Housain |
| collection | DOAJ |
| description | The theory of Banach contraction and the fixed point theorems of Schaefer are used to explain the behavior of positive solutions for the nonlinear differential equation of fractional order and the minimal values. Our main result is the presence and uniqueness of positive solution of the above equations. Finally, an example is given to illustrate our results. |
| format | Article |
| id | doaj-art-fccc1f9d6e41435b92cc5f115526490d |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-fccc1f9d6e41435b92cc5f115526490d2025-08-20T03:25:50ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902021-06-01151697710.33899/csmj.2021.168348168348Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential EquationsNoora Housain0Hanan Mohammed1Nadia Abdulrazaq2Department of Mathematics College of Education for Pure Science University of Mosul, Mosul, IraqDepartment of Mathematics College of Education for Pure Science University of Mosul, Mosul, IraqDepartment of Mathematics College of Education for Pure Science University of Mosul, Mosul, IraqThe theory of Banach contraction and the fixed point theorems of Schaefer are used to explain the behavior of positive solutions for the nonlinear differential equation of fractional order and the minimal values. Our main result is the presence and uniqueness of positive solution of the above equations. Finally, an example is given to illustrate our results.https://csmj.uomosul.edu.iq/article_168348_ac9940c6ce3537a0f56022f908b92242.pdfpositive solutionfractional differential equationsbanach’s and schaefer’s theorems |
| spellingShingle | Noora Housain Hanan Mohammed Nadia Abdulrazaq Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations Al-Rafidain Journal of Computer Sciences and Mathematics positive solution fractional differential equations banach’s and schaefer’s theorems |
| title | Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations |
| title_full | Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations |
| title_fullStr | Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations |
| title_full_unstemmed | Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations |
| title_short | Existence and Uniqueness of Positive Solution for Boundary Value Problem of Fractional Differential Equations |
| title_sort | existence and uniqueness of positive solution for boundary value problem of fractional differential equations |
| topic | positive solution fractional differential equations banach’s and schaefer’s theorems |
| url | https://csmj.uomosul.edu.iq/article_168348_ac9940c6ce3537a0f56022f908b92242.pdf |
| work_keys_str_mv | AT noorahousain existenceanduniquenessofpositivesolutionforboundaryvalueproblemoffractionaldifferentialequations AT hananmohammed existenceanduniquenessofpositivesolutionforboundaryvalueproblemoffractionaldifferentialequations AT nadiaabdulrazaq existenceanduniquenessofpositivesolutionforboundaryvalueproblemoffractionaldifferentialequations |