On $\psi$-Hilfer fractional differential equation with complex order
The objectives of this paper is to investigate some adequate results for the existence of solution to a $\psi$-Hilfer fractional derivatives (HFDEs) involving complex order. Appropriate conditions for the existence of at least one solution are developed by using Schauder fixed point theorem (SFPT) t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2018-03-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/438707 |
| _version_ | 1797350179827875840 |
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| author | Harikrishnan Sugumaran Rabha Ibrahim Kuppusamy Kanagarajan |
| author_facet | Harikrishnan Sugumaran Rabha Ibrahim Kuppusamy Kanagarajan |
| author_sort | Harikrishnan Sugumaran |
| collection | DOAJ |
| description | The objectives of this paper is to investigate some adequate results for the existence of solution to a $\psi$-Hilfer fractional derivatives (HFDEs) involving complex order. Appropriate conditions for the existence of at least one solution are developed by using Schauder fixed point theorem (SFPT) to the consider problem. Moreover, we also investigate the Ulam-Hyers stability for the proposed problem. |
| first_indexed | 2024-03-08T12:41:01Z |
| format | Article |
| id | doaj.art-164729d4d4fe46a6aed8fc47b8c5ad16 |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T12:41:01Z |
| publishDate | 2018-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-164729d4d4fe46a6aed8fc47b8c5ad162024-01-21T10:26:55ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532018-03-0111333810.32323/ujma.3931301225On $\psi$-Hilfer fractional differential equation with complex orderHarikrishnan SugumaranRabha IbrahimKuppusamy KanagarajanThe objectives of this paper is to investigate some adequate results for the existence of solution to a $\psi$-Hilfer fractional derivatives (HFDEs) involving complex order. Appropriate conditions for the existence of at least one solution are developed by using Schauder fixed point theorem (SFPT) to the consider problem. Moreover, we also investigate the Ulam-Hyers stability for the proposed problem.https://dergipark.org.tr/tr/download/article-file/438707fractional derivativeexistenceulam-hyers-rassias stabilitycomplex order |
| spellingShingle | Harikrishnan Sugumaran Rabha Ibrahim Kuppusamy Kanagarajan On $\psi$-Hilfer fractional differential equation with complex order Universal Journal of Mathematics and Applications fractional derivative existence ulam-hyers-rassias stability complex order |
| title | On $\psi$-Hilfer fractional differential equation with complex order |
| title_full | On $\psi$-Hilfer fractional differential equation with complex order |
| title_fullStr | On $\psi$-Hilfer fractional differential equation with complex order |
| title_full_unstemmed | On $\psi$-Hilfer fractional differential equation with complex order |
| title_short | On $\psi$-Hilfer fractional differential equation with complex order |
| title_sort | on psi hilfer fractional differential equation with complex order |
| topic | fractional derivative existence ulam-hyers-rassias stability complex order |
| url | https://dergipark.org.tr/tr/download/article-file/438707 |
| work_keys_str_mv | AT harikrishnansugumaran onpsihilferfractionaldifferentialequationwithcomplexorder AT rabhaibrahim onpsihilferfractionaldifferentialequationwithcomplexorder AT kuppusamykanagarajan onpsihilferfractionaldifferentialequationwithcomplexorder |