On classical and free stable laws
, 2010 We derive the representative Bernstein measure of the density of $(X_{\alpha})^{-\alpha/(1-\alpha)}, 0 < \alpha < 1$, where $X_{\alpha}$ is a positive stable random variable, as a Fox-H function. When $1-\alpha = 1/j$ for some integer $j \geq 2$, the Fox
Demni, Nizar
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Laplace-Laplace analysis of the fractional Poisson process
, 2012 We generate the fractional Poisson process by subordinating the standard Poisson process to the inverse stable subordinator. Our analysis is based on application of the Laplace transform with respect to both arguments of the evolving probability ...
Gorenflo, Rudolf, Mainardi, Francesco
core
Fractional-Order Susceptible-Infected Model: Definition and Applications to the Study of COVID-19 Main Protease. [PDF]
Fract Calc Appl Anal, 2020 Abadias L +2 more
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Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus? [PDF]
Entropy (Basel), 2020 Mainardi F.
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Turán type inequalities for generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2017 Dou XK, Yin L.
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General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2018 Farid G +4 more
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Note on generalized Mittag-Leffler function. [PDF]
Springerplus, 2016 Desai R, Salehbhai IA, Shukla AK.
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Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2017 Mihai MV, Awan MU, Noor MA, Noor KI.
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Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function. [PDF]
J Inequal Appl, 2017 Abbas G, Khan KA, Farid G, Rehman AU.
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Fractional calculus and application of generalized Struve function. [PDF]
Springerplus, 2016 Nisar KS, Baleanu D, Qurashi MM.
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