A Note on Fractional Sumudu Transform
We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relations...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2010/154189 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550380962054144 |
|---|---|
| author | V. G. Gupta Bhavna Shrama Adem Kiliçman |
| author_facet | V. G. Gupta Bhavna Shrama Adem Kiliçman |
| author_sort | V. G. Gupta |
| collection | DOAJ |
| description | We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations. |
| format | Article |
| id | doaj-art-d703c19014cc4490a9cd3ccb97ee44ee |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d703c19014cc4490a9cd3ccb97ee44ee2025-02-03T06:06:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422010-01-01201010.1155/2010/154189154189A Note on Fractional Sumudu TransformV. G. Gupta0Bhavna Shrama1Adem Kiliçman2Department of Mathematics, University of Rajasthan, Jaipur 302055, IndiaDepartment of Mathematics, Shri Balaji Institute of Engineering and Technology, Jaipur 302045, IndiaDepartment of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, (UPM), Serdang, Selangor 43400, MalaysiaWe propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.http://dx.doi.org/10.1155/2010/154189 |
| spellingShingle | V. G. Gupta Bhavna Shrama Adem Kiliçman A Note on Fractional Sumudu Transform Journal of Applied Mathematics |
| title | A Note on Fractional Sumudu Transform |
| title_full | A Note on Fractional Sumudu Transform |
| title_fullStr | A Note on Fractional Sumudu Transform |
| title_full_unstemmed | A Note on Fractional Sumudu Transform |
| title_short | A Note on Fractional Sumudu Transform |
| title_sort | note on fractional sumudu transform |
| url | http://dx.doi.org/10.1155/2010/154189 |
| work_keys_str_mv | AT vggupta anoteonfractionalsumudutransform AT bhavnashrama anoteonfractionalsumudutransform AT ademkilicman anoteonfractionalsumudutransform AT vggupta noteonfractionalsumudutransform AT bhavnashrama noteonfractionalsumudutransform AT ademkilicman noteonfractionalsumudutransform |