Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions

Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions

Authors presented some composition formulae for the Marichev-Saigo-Maeda (M-S-M) fractional integral operator with the multi-index Mittag-Leffler functions. Our results are generalizes the results obtained by Choi and Agarwal [3]. Here, we record some particular cases of our main result. Finally, we...

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Hauptverfasser: Jain, Shilpi, Agarwal, Praveen, Kıymaz, İ. Onur, Çetinkaya, Ayṣegül
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Composition
Integrals
Laplace transforms
Operators (mathematics)
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Agarwal, Praveen
Kıymaz, İ. Onur
Çetinkaya, Ayṣegül
description Authors presented some composition formulae for the Marichev-Saigo-Maeda (M-S-M) fractional integral operator with the multi-index Mittag-Leffler functions. Our results are generalizes the results obtained by Choi and Agarwal [3]. Here, we record some particular cases of our main result. Finally, we obtain Laplace transforms of the composition formulae.
doi_str_mv 10.1063/1.5020469
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subjects Composition
Integrals
Laplace transforms
Operators (mathematics)
title Some composition formulae for the M-S-M fractional integral operator with the multi-index Mittag-Leffler functions
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