Results on Katugampola Fractional Derivatives and Integrals
In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N. Then, we give...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-10-01
|
| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2956 |
| _version_ | 1797404918991028224 |
|---|---|
| author | Iqbal H. Jebril Mohammed S. El-Khatib Ahmad A. Abubaker Suha B. Al-Shaikh Iqbal M. Batiha |
| author_facet | Iqbal H. Jebril Mohammed S. El-Khatib Ahmad A. Abubaker Suha B. Al-Shaikh Iqbal M. Batiha |
| author_sort | Iqbal H. Jebril |
| collection | DOAJ |
| description | In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N. Then, we give some proprieties in relation to these operators such as linearity, product rule, quotient rule, power rule, chain rule, and vanishing derivatives for constant functions. |
| first_indexed | 2024-03-09T03:02:02Z |
| format | Article |
| id | doaj.art-7d4dc559c21f41fa9ce821a3a1f8a809 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-09T03:02:02Z |
| publishDate | 2023-10-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-7d4dc559c21f41fa9ce821a3a1f8a8092023-12-04T12:13:04ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-10-012111311310.28924/2291-8639-21-2023-1132341Results on Katugampola Fractional Derivatives and IntegralsIqbal H. JebrilMohammed S. El-KhatibAhmad A. AbubakerSuha B. Al-ShaikhIqbal M. BatihaIn this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N. Then, we give some proprieties in relation to these operators such as linearity, product rule, quotient rule, power rule, chain rule, and vanishing derivatives for constant functions.http://etamaths.com/index.php/ijaa/article/view/2956 |
| spellingShingle | Iqbal H. Jebril Mohammed S. El-Khatib Ahmad A. Abubaker Suha B. Al-Shaikh Iqbal M. Batiha Results on Katugampola Fractional Derivatives and Integrals International Journal of Analysis and Applications |
| title | Results on Katugampola Fractional Derivatives and Integrals |
| title_full | Results on Katugampola Fractional Derivatives and Integrals |
| title_fullStr | Results on Katugampola Fractional Derivatives and Integrals |
| title_full_unstemmed | Results on Katugampola Fractional Derivatives and Integrals |
| title_short | Results on Katugampola Fractional Derivatives and Integrals |
| title_sort | results on katugampola fractional derivatives and integrals |
| url | http://etamaths.com/index.php/ijaa/article/view/2956 |
| work_keys_str_mv | AT iqbalhjebril resultsonkatugampolafractionalderivativesandintegrals AT mohammedselkhatib resultsonkatugampolafractionalderivativesandintegrals AT ahmadaabubaker resultsonkatugampolafractionalderivativesandintegrals AT suhabalshaikh resultsonkatugampolafractionalderivativesandintegrals AT iqbalmbatiha resultsonkatugampolafractionalderivativesandintegrals |