NE transform of pathway fractional integrals involving $ S $-function

Shristi Mishra; Harish Nagar; Naveen Mani; Rahul Shukla; Shristi Mishra; Harish Nagar; Naveen Mani; Rahul Shukla

doi:10.3934/math.2025140

AIMS Mathematics

2025, Volume 10, Issue 2: 3013-3024. doi: 10.3934/math.2025140

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NE transform of pathway fractional integrals involving $ S $-function

1.
Department of Mathematics, Chandigarh University, Mohali 140413, India
2.
Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

Received: 06 November 2024 Revised: 25 December 2024 Accepted: 08 January 2025 Published: 18 February 2025
MSC : 44C20, 44A20

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.
- $ S $-function,
- NE transform,
- pathway fractional integral operator,
- fractional calculus
Citation: Shristi Mishra, Harish Nagar, Naveen Mani, Rahul Shukla. NE transform of pathway fractional integrals involving $ S $-function[J]. AIMS Mathematics, 2025, 10(2): 3013-3024. doi: 10.3934/math.2025140

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Abstract

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.

References

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