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

Fuente: arXiv
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Autori principali: Luo, Min-Jie, Shen, Jing-Yi, Raina, Ravinder Krishna
Natura: Preprint
Pubblicazione: 2025
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author Luo, Min-Jie
Shen, Jing-Yi
Raina, Ravinder Krishna
author_facet Luo, Min-Jie
Shen, Jing-Yi
Raina, Ravinder Krishna
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00493
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note on the Laplace transforms of certain generalized fractional integral operators
Luo, Min-Jie
Shen, Jing-Yi
Raina, Ravinder Krishna
Classical Analysis and ODEs
Complex Variables
26A33, 33C60
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.
title A note on the Laplace transforms of certain generalized fractional integral operators
topic Classical Analysis and ODEs
Complex Variables
26A33, 33C60
url https://arxiv.org/abs/2509.00493