Interrelationships Between Marichev–Saigo–Maeda Fractional Integral Operators, the Laplace Transform and the $${\overline{H}}$$H¯-Function
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0690-3
Abstract: AbstractIn this article, we first evaluate the Laplace transform of Marichev–Saigo–Maeda (M–S–M) fractional integral operators whose kernel is the Appell function $$F_{3}$$F3 and point out its six special cases (Saigo, Erdélyi–Kober, Riemann–Liouville and Weyl fractional… read more here.
Keywords: laplace transform; marichev saigo; saigo maeda; integral operators ... See more keywords
Fractional Integral and Derivative Formulas by Using Marichev-Saigo-Maeda Operators Involving the S-Function
Sign Up to like & getrecommendations! Published in 2019 at "Abstract and Applied Analysis"
DOI: 10.1155/2019/6487687
Abstract: We establish fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. The results are expressed in terms of the generalized Gauss hypergeometric functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and… read more here.
Keywords: using marichev; marichev saigo; derivative formulas; integral derivative ... See more keywords