NE transform of pathway fractional integrals involving $ S $-function
This paper aims to derive the NE transform of fractional integrals in the pathway that incorporates the $ S $-function in the kernel, considering various parameters. Furthermore, by applying these mathematical operators, we have explored and clarified several key findings and corollaries. Our curren...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-02-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025140 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850151252747354112 |
|---|---|
| author | Shristi Mishra Harish Nagar Naveen Mani Rahul Shukla |
| author_facet | Shristi Mishra Harish Nagar Naveen Mani Rahul Shukla |
| author_sort | Shristi Mishra |
| collection | DOAJ |
| description | This paper aims to derive the NE transform of fractional integrals in the pathway that incorporates the $ S $-function in the kernel, considering various parameters. Furthermore, by applying these mathematical operators, we have explored and clarified several key findings and corollaries. Our current study highlights the results of the NE transform, combined with the fractional integral formula of the pathway that includes the $ S $-function within the kernel. |
| format | Article |
| id | doaj-art-ca9ad846d59d4b89bde758bce78f88e6 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-ca9ad846d59d4b89bde758bce78f88e62025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-02-011023013302410.3934/math.2025140NE transform of pathway fractional integrals involving $ S $-functionShristi Mishra0Harish Nagar1Naveen Mani2Rahul Shukla3Department of Mathematics, Chandigarh University, Mohali 140413, IndiaDepartment of Mathematics, Chandigarh University, Mohali 140413, IndiaDepartment of Mathematics, Chandigarh University, Mohali 140413, IndiaDepartment of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South AfricaThis paper aims to derive the NE transform of fractional integrals in the pathway that incorporates the $ S $-function in the kernel, considering various parameters. Furthermore, by applying these mathematical operators, we have explored and clarified several key findings and corollaries. Our current study highlights the results of the NE transform, combined with the fractional integral formula of the pathway that includes the $ S $-function within the kernel.https://www.aimspress.com/article/doi/10.3934/math.2025140$ s $-functionne transformpathway fractional integral operatorfractional calculus |
| spellingShingle | Shristi Mishra Harish Nagar Naveen Mani Rahul Shukla NE transform of pathway fractional integrals involving $ S $-function AIMS Mathematics $ s $-function ne transform pathway fractional integral operator fractional calculus |
| title | NE transform of pathway fractional integrals involving $ S $-function |
| title_full | NE transform of pathway fractional integrals involving $ S $-function |
| title_fullStr | NE transform of pathway fractional integrals involving $ S $-function |
| title_full_unstemmed | NE transform of pathway fractional integrals involving $ S $-function |
| title_short | NE transform of pathway fractional integrals involving $ S $-function |
| title_sort | ne transform of pathway fractional integrals involving s function |
| topic | $ s $-function ne transform pathway fractional integral operator fractional calculus |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025140 |
| work_keys_str_mv | AT shristimishra netransformofpathwayfractionalintegralsinvolvingsfunction AT harishnagar netransformofpathwayfractionalintegralsinvolvingsfunction AT naveenmani netransformofpathwayfractionalintegralsinvolvingsfunction AT rahulshukla netransformofpathwayfractionalintegralsinvolvingsfunction |