# A note on the Laplace transforms of certain generalized fractional integral operators

**Authors:** Min-Jie Luo, Jing-Yi Shen, Ravinder Krishna Raina

arXiv: 2509.00493 · 2025-09-03

## TL;DR

This paper derives formulas for the Laplace transforms of two recently introduced generalized fractional integral operators, extending known results and providing insights into their properties.

## Contribution

It introduces new formulas for Laplace transforms of generalized fractional integrals, broadening the understanding of these operators.

## Key findings

- Derived Laplace transform formulas for two generalized fractional integrals
- Generalized several known results in fractional calculus
- Provided remarks on the implications of these formulas

## Abstract

In this paper, we derive certain formulas giving the Laplace transforms of two generalized fractional integral operators introduced recently in [Fract. Calc. Appl. Anal. 20 (2) (2017), 422--446]. The main results provide generalizations to various known results. Some useful remarks related to the results presented in this paper are also mentioned.

## Full text

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## References

12 references — full list in the complete paper: https://tomesphere.com/paper/2509.00493/full.md

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Source: https://tomesphere.com/paper/2509.00493