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
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Mittag-Leffler functions and convex ordering
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
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Discrete-time Mittag-Leffler state estimation for fractional-order quaternion memristive neural networks. [PDF]
Huang Q, Tu Z.
europepmc +1 more source
Fractional modeling of hepatitis B virus transmission via heterosexual and homosexual contacts and its disability burden. [PDF]
Guedri K +5 more
europepmc +1 more source
Analysis and optimal control of a fractional order influenza epidemic model. [PDF]
Zahra F, Li Z, Al-Ahmari A.
europepmc +1 more source
Monitoring and investigation to control the brain network disease under immunotherapy by using fractional operator. [PDF]
Farman M +6 more
europepmc +1 more source
On the solutions of fractional differential equations with modified Mittag-Leffler kernel and Dirac Delta function: Analytical results and numerical simulations. [PDF]
Al-Refai M, Baleanu D, Alomari AK.
europepmc +1 more source
Semi analytical solution strategy for fractional Fornberg Whitham equation using Temimi Ansari method. [PDF]
Arafa AAM +5 more
europepmc +1 more source
Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]
Abubaker AA +3 more
europepmc +1 more source
Dynamics of 4D supply chain system with fractal fractional derivatives insight of stability analysis and ANN prediction. [PDF]
Zehra A +7 more
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