Results 131 to 140 of about 19,869 (230)

Analysis of Discrete Mittag - Leffler Functions

International Journal of Analysis and Applications, 2015
Discrete Mittag - Leffler functions play a major role in the development of the theory of discrete fractional calculus. In the present article, we analyze qualitative properties of discrete Mittag - Leffler functions and establish sufficient conditions for convergence, oscillation and summability of the infinite series associated with discrete Mittag -
N. Shobanadevi, J. Jagan Mohan
openaire   +2 more sources

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2018
Farid G, Khan KA, Latif N, Rehman AU, Mehmood S.   +4 more
europepmc   +1 more source

Integral transforms of the S-functions

Le Matematiche, 2015
The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava ...
Jitendra Daiya, Ram Kishore Saxena
doaj  

Generalizations of some fractional integral inequalities via generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Abbas G, Khan KA, Farid G, Rehman AU.
europepmc   +1 more source

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
openaire   +2 more sources

On the generalized fractional integrals of the generalized Mittag-Leffler function. [PDF]

Springerplus, 2014
Ahmed S.
europepmc   +1 more source

On some properties of the generalized Mittag-Leffler function. [PDF]

Springerplus, 2013
Khan MA, Ahmed S.
europepmc   +1 more source

Some new applications of the fractional integral and four-parameter Mittag-Leffler function. [PDF]

PLoS One
Abubaker AA, Matarneh K, B Al-Shaikh S, Khan MF.   +3 more
europepmc   +1 more source

On generalized fractal-fractional derivative and integral operators associated with generalized Mittag-Leffler function. [PDF]

Heliyon
Khan H, Rahman G, Samraiz M, Shah K, Abdeljawad T.   +4 more
europepmc   +1 more source

Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]

Sci Rep
Boumaaza M, Boutiara A, Djidel O, Guefaifia R, Boulaaras S.   +4 more
europepmc   +1 more source