Modified Sumudu Transform and Its Properties
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu...
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Sakarya University
2021-04-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1394464 |
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| _version_ | 1846111386302676992 |
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| author | Uğur Duran |
| author_facet | Uğur Duran |
| author_sort | Uğur Duran |
| collection | DOAJ |
| description | Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu transforms of the power function, sine, cosine, hyperbolic sine, hyperbolic cosine, exponential function, and function derivatives. Moreover, we attain two shifting properties and a scale preserving theorem for the modified Sumudu transform. We give modified inverse Sumudu transform and investigate some relations and examples. Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform. |
| format | Article |
| id | doaj-art-2f49083617cc4c0b93117956e4bb6df6 |
| institution | Kabale University |
| issn | 2147-835X |
| language | English |
| publishDate | 2021-04-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-2f49083617cc4c0b93117956e4bb6df62024-12-23T08:08:33ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2021-04-0125238939610.16984/saufenbilder.82518028Modified Sumudu Transform and Its PropertiesUğur Duran0https://orcid.org/0000-0002-5717-1199İSKENDERUN TEKNİK ÜNİVERSİTESİSaif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu transforms of the power function, sine, cosine, hyperbolic sine, hyperbolic cosine, exponential function, and function derivatives. Moreover, we attain two shifting properties and a scale preserving theorem for the modified Sumudu transform. We give modified inverse Sumudu transform and investigate some relations and examples. Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform.https://dergipark.org.tr/tr/download/article-file/1394464gamma functionlaplace transformsumudu transformconvolution |
| spellingShingle | Uğur Duran Modified Sumudu Transform and Its Properties Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi gamma function laplace transform sumudu transform convolution |
| title | Modified Sumudu Transform and Its Properties |
| title_full | Modified Sumudu Transform and Its Properties |
| title_fullStr | Modified Sumudu Transform and Its Properties |
| title_full_unstemmed | Modified Sumudu Transform and Its Properties |
| title_short | Modified Sumudu Transform and Its Properties |
| title_sort | modified sumudu transform and its properties |
| topic | gamma function laplace transform sumudu transform convolution |
| url | https://dergipark.org.tr/tr/download/article-file/1394464 |
| work_keys_str_mv | AT ugurduran modifiedsumudutransformanditsproperties |