Research Article

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

Volume: 13 Number: 1 June 27, 2025
EN

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

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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APA
Kaurangini, M., Abubakar, U. M., & Ata, E. (2025). Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform. MANAS Journal of Engineering, 13(1), 18-22. https://doi.org/10.51354/mjen.1543383
AMA
1.Kaurangini M, Abubakar UM, Ata E. Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform. MJEN. 2025;13(1):18-22. doi:10.51354/mjen.1543383
Chicago
Kaurangini, Muhammad, Umar Muhammad Abubakar, and Enes Ata. 2025. “Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform”. MANAS Journal of Engineering 13 (1): 18-22. https://doi.org/10.51354/mjen.1543383.
EndNote
Kaurangini M, Abubakar UM, Ata E (June 1, 2025) Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform. MANAS Journal of Engineering 13 1 18–22.
IEEE
[1]M. Kaurangini, U. M. Abubakar, and E. Ata, “Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform”, MJEN, vol. 13, no. 1, pp. 18–22, June 2025, doi: 10.51354/mjen.1543383.
ISNAD
Kaurangini, Muhammad - Abubakar, Umar Muhammad - Ata, Enes. “Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform”. MANAS Journal of Engineering 13/1 (June 1, 2025): 18-22. https://doi.org/10.51354/mjen.1543383.
JAMA
1.Kaurangini M, Abubakar UM, Ata E. Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform. MJEN. 2025;13:18–22.
MLA
Kaurangini, Muhammad, et al. “Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform”. MANAS Journal of Engineering, vol. 13, no. 1, June 2025, pp. 18-22, doi:10.51354/mjen.1543383.
Vancouver
1.Muhammad Kaurangini, Umar Muhammad Abubakar, Enes Ata. Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform. MJEN. 2025 Jun. 1;13(1):18-22. doi:10.51354/mjen.1543383