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- W4287602518 abstract "We establish a new natural extension of Mittag-Leffler function with three variables which is so called trivariate Mittag-Leffler function. The trivariate Mittag-Leffler function can be expressed via complex integral representation by putting to use of the eminent Hankel's integral. We also investigate Laplace integral relation and convolution result for a univariate version of this function. Moreover, we present fractional derivative of trivariate Mittag-Leffler function in Caputo type and we also discuss Riemann- Liouville type fractional integral and derivative of this function. The link of trivariate Mittag-Leffler function with fractional differential equation systems involving different fractional orders is necessary on certain applications in physics. Thus, we provide an exact analytic solutions of homogeneous and inhomogeneous multi-term fractional differential equations by means of a newly defined trivariate Mittag-Leffler functions." @default.
- W4287602518 created "2022-07-25" @default.
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- W4287602518 date "2020-11-08" @default.
- W4287602518 modified "2023-09-27" @default.
- W4287602518 title "A natural extension of Mittag-Leffler function associated with a triple infinite series" @default.
- W4287602518 doi "https://doi.org/10.48550/arxiv.2011.03999" @default.
- W4287602518 hasPublicationYear "2020" @default.
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