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<p>In this paper, we derive certain formulas giving the Laplace transforms of two generalized fractional integral operators introduced recently in Luo and Raina (Fract. Calc. Appl. Anal. 20 (2) (<CitationRef CitationID="CR12">2017</CitationRef>), 422–446). The main results provide generalizations to various known results. Some useful remarks and observations related to the given results and possibilities for further work on the subject are also mentioned.</p>

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A NOTE ON THE LAPLACE TRANSFORMS OF CERTAIN GENERALIZED FRACTIONAL INTEGRAL OPERATORS

  • 期刊论文

  • 发表日期：

    2026年4月24日

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  • Min-Jie Luo,
  • Jing-Yi Shen,
  • Ravinder Krishna Raina

摘要

In this paper, we derive certain formulas giving the Laplace transforms of two generalized fractional integral operators introduced recently in Luo and Raina (Fract. Calc. Appl. Anal. 20 (2) (2017), 422–446). The main results provide generalizations to various known results. Some useful remarks and observations related to the given results and possibilities for further work on the subject are also mentioned.