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Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform

open access: yesKuwait Journal of Science
This paper investigates the properties and applications of q-Mittag-Leffler functions with five parameters within the framework of fractional q-kinetic equations.
Mulugeta Dawud Ali, D.L. Suthar
doaj   +1 more source

Mittag-Leffler functions and convex ordering

open access: yes
The monotonicity of the Mittag-Leffler function $E_α$ with respect to the parameter $α$ is investigated, via some convex ordering properties for related random variables. In particular, it is shown that the mapping $α\mapsto E_α(x^α)$ decreases on $(0,2)$ for all $x> 0$, that the mapping $α\mapsto E_α(-x^α)$ decreases on $(0,1)$ for all $x\ge 1$ and
Ferreira, Rui, Simon, Thomas
openaire   +2 more sources

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