Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces
This paper deals with some existence results for a class of k-generalized ψ-Hilfer implicit fractional differential equations in b-metric spaces. The results are based on the α-φ-Geraghty type contraction and the fixed point theory. We illustrate our results by an example in the last section.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2023-03-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/97 |
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| author | Salim Krim Abdelkrim Salim Said Abbas Mouffak Benchohra |
| author_facet | Salim Krim Abdelkrim Salim Said Abbas Mouffak Benchohra |
| author_sort | Salim Krim |
| collection | DOAJ |
| description | This paper deals with some existence results for a class of k-generalized ψ-Hilfer implicit fractional differential equations in b-metric spaces. The results are based on the α-φ-Geraghty type contraction and the fixed point theory. We illustrate our results by an example in the last section. |
| format | Article |
| id | doaj-art-98422e81e382490ca7c3d34f06d02b77 |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-98422e81e382490ca7c3d34f06d02b772025-08-20T03:27:01ZengMathyze PublishersPan-American Journal of Mathematics2832-42932023-03-012010.28919/cpr-pajm/2-523Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric SpacesSalim KrimAbdelkrim SalimSaid AbbasMouffak BenchohraThis paper deals with some existence results for a class of k-generalized ψ-Hilfer implicit fractional differential equations in b-metric spaces. The results are based on the α-φ-Geraghty type contraction and the fixed point theory. We illustrate our results by an example in the last section.https://mathyze.com/index.php/pajm/article/view/97 |
| spellingShingle | Salim Krim Abdelkrim Salim Said Abbas Mouffak Benchohra Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces Pan-American Journal of Mathematics |
| title | Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces |
| title_full | Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces |
| title_fullStr | Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces |
| title_full_unstemmed | Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces |
| title_short | Functional k-Generalized Ψ-Hilfer Fractional Differential Equations in b-Metric Spaces |
| title_sort | functional k generalized ψ hilfer fractional differential equations in b metric spaces |
| url | https://mathyze.com/index.php/pajm/article/view/97 |
| work_keys_str_mv | AT salimkrim functionalkgeneralizedpshilferfractionaldifferentialequationsinbmetricspaces AT abdelkrimsalim functionalkgeneralizedpshilferfractionaldifferentialequationsinbmetricspaces AT saidabbas functionalkgeneralizedpshilferfractionaldifferentialequationsinbmetricspaces AT mouffakbenchohra functionalkgeneralizedpshilferfractionaldifferentialequationsinbmetricspaces |