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Generalized fractional integral operators pertaining to the pRq(λ, ϑ; x)-function
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DOI：10.1080/27684830.2025.2505280.png)
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Abstract
En 中文
The goal of this research is to create generalized fractional integral operators using the I-function as the kernel. Furthermore, two theorems are stated within the context of these operators, yielding an image formula for the pRq(lambda, & vartheta;; x)- function. Our aim was also to investigate the various characteristics of the R-p(q)(lambda, & vartheta;; x)-function. Related statements in terms of the Weyl, Riemann-Liouville, ErdeIyi-Kober and Saigo type of fractional integrals, as well as the Euler and Laplace transforms, are also given. Due to the general nature of the R-p(q)(lambda, & vartheta;; x)--function and I-function, a variety of special function outcomes can only be obtained by setting suitable parameters.
Keywords:
Fractional integral operators
I-function
R-p(q)(lambda, & vartheta
x)--function
Euler transform
Laplace transform
Journal
R
IF:
1.1
Papers:
72
Citations:
0
Organization
Cited Papers