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Research Article | Open Access

NE transform of pathway fractional integrals involving S-function

Shristi Mishra1, Harish Nagar1, Naveen Mani1, Rahul Shukla2( )
Department of Mathematics, Chandigarh University, Mohali 140413, India
Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa
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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.

Keywords

S-functionNE transformpathway fractional integral operatorfractional calculus
CLC number: 44C20, 44A20

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AIMS Mathematics
Volume 10 Issue 2,
February 2025
Pages 3013-3024
DOI: 10.3934/math.2025140

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Cite this article:
Mishra S, Nagar H, Mani N, et al. NE transform of pathway fractional integrals involving S-function. AIMS Mathematics, 2025, 10(2): 3013-3024. https://doi.org/10.3934/math.2025140

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Received: 06 November 2024
Revised: 25 December 2024
Accepted: 08 January 2025
Published: 15 February 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)