Some general properties of a fractional Sumudu transform in the class of Boehmians
In literature, there are several works on the theory and applications of integraltransforms of Boehmian spaces, but fractional integral transforms of Boehmians havenot yet been reported. In this paper, we investigate a fractional Sumudu transform ofan arbitrary order on some space of integrable Boeh...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-05-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/749 |
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| author | Shrideh K. Qasem Al-Omari Praveen Agarwal |
| author_facet | Shrideh K. Qasem Al-Omari Praveen Agarwal |
| author_sort | Shrideh K. Qasem Al-Omari |
| collection | DOAJ |
| description | In literature, there are several works on the theory and applications of integraltransforms of Boehmian spaces, but fractional integral transforms of Boehmians havenot yet been reported. In this paper, we investigate a fractional Sumudu transform ofan arbitrary order on some space of integrable Boehmians. The fractional Sumudutransform of an integrable Boehmian is well-defined, linear and sequentially completein the space of continuous functions. Two types of convergence are also discussed indetails. |
| format | Article |
| id | doaj-art-5b9f7ba144bc4bc59768337890f05d76 |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-5b9f7ba144bc4bc59768337890f05d762025-08-20T03:24:56ZengElsevierKuwait Journal of Science2307-41082307-41162016-05-01432281Some general properties of a fractional Sumudu transform in the class of BoehmiansShrideh K. Qasem Al-Omari0Praveen Agarwal1Department of Applied Sciences, Faculty of Engineering Technology; Al-Balqa’ Applied University, Amman 11134, JordanAnand International College of Engineering Jaipur-303012, Rajasthan, IndiaIn literature, there are several works on the theory and applications of integraltransforms of Boehmian spaces, but fractional integral transforms of Boehmians havenot yet been reported. In this paper, we investigate a fractional Sumudu transform ofan arbitrary order on some space of integrable Boehmians. The fractional Sumudutransform of an integrable Boehmian is well-defined, linear and sequentially completein the space of continuous functions. Two types of convergence are also discussed indetails.https://journalskuwait.org/kjs/index.php/KJS/article/view/749Boehmianfractional Sumudu transformfractional derivativeMittag- Leffler functionSumudu transform. |
| spellingShingle | Shrideh K. Qasem Al-Omari Praveen Agarwal Some general properties of a fractional Sumudu transform in the class of Boehmians Kuwait Journal of Science Boehmian fractional Sumudu transform fractional derivative Mittag- Leffler function Sumudu transform. |
| title | Some general properties of a fractional Sumudu transform in the class of Boehmians |
| title_full | Some general properties of a fractional Sumudu transform in the class of Boehmians |
| title_fullStr | Some general properties of a fractional Sumudu transform in the class of Boehmians |
| title_full_unstemmed | Some general properties of a fractional Sumudu transform in the class of Boehmians |
| title_short | Some general properties of a fractional Sumudu transform in the class of Boehmians |
| title_sort | some general properties of a fractional sumudu transform in the class of boehmians |
| topic | Boehmian fractional Sumudu transform fractional derivative Mittag- Leffler function Sumudu transform. |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/749 |
| work_keys_str_mv | AT shridehkqasemalomari somegeneralpropertiesofafractionalsumudutransformintheclassofboehmians AT praveenagarwal somegeneralpropertiesofafractionalsumudutransformintheclassofboehmians |