Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

Year 2025, Volume: 13 Issue: 1, 18 - 22, 27.06.2025

Muhammad Kaurangini , Umar Muhammad Abubakar , Enes Ata

https://doi.org/10.51354/mjen.1543383

Abstract

The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied. Moreover, the SUM integral transform of the composition formula for the pathway fractional integral and extended multi-index Mittag-Leffler function is also presented.

Keywords

SUM transform , Laplace transform , Mittag-Leffler function , Pathway fractional integral operator , Wright function

References

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