Results 91 to 100 of about 10,764 (212)

On fractional derivatives with generalized Mittag-Leffler kernels

open access: yesAdvances in Difference Equations, 2018
Fractional derivatives with three parameter generalized Mittag-Leffler kernels and their properties are studied. The corresponding integral operators are obtained with the help of Laplace transforms.
Thabet Abdeljawad, Dumitru Baleanu
doaj   +1 more source

The M-Wright function in time-fractional diffusion processes: a tutorial survey

open access: yes, 2010
In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as M-Wright function, entering as a probability density in a relevant class of self-similar stochastic processes that we generally refer to as ...
Mainardi, Francesco   +2 more
core   +2 more sources

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

open access: yesSpringerPlus, 2014
In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases.33C45, 47G20, 26A33.
openaire   +2 more sources

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

The J-Generalized P - K Mittag-Leffler Function

open access: yes, 2020
We know that the classical Mittag-Leffler function play an important role as solution of fractional order differential and integral equations. We introduce the j-generalized p - k Mittag-Leffler function. We evaluate the second order differential recurrence relation and four different integral representations and introduce a homogeneous linear ...
Gehlot, Kuldeep Singh, Bhandari, Anjana
openaire   +2 more sources

Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation

open access: yes, 2004
A detailed study is presented for a large class of uncoupled continuous-time random walks (CTRWs). The master equation is solved for the Mittag-Leffler survival probability.
A. Compte   +47 more
core   +1 more source

Quantum Trapezium-Type Inequalities Using Generalized ϕ-Convex Functions

open access: yesAxioms, 2020
In this work, a study is conducted on the Hermite−Hadamard inequality using a class of generalized convex functions that involves a generalized and parametrized class of special functions within the framework of quantum calculation. Similar results
Miguel J. Vivas-Cortez   +3 more
doaj   +1 more source

On generalized fractional kinetic equations involving generalized Lommel-Wright functions

open access: yesAlexandria Engineering Journal, 2016
Fractional kinetic equations play an important role in certain astrophysical problems. In this paper, authors have established further generalization of fractional kinetic equations involving generalized Lommel-Wright functions.
Krunal B. Kachhia   +1 more
doaj   +1 more source

Generating a New Convolution Function From Mittag‐Leffler and Koebe Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences
This paper describes the generation of a new function using the convolution process for a Mittag‐Leffler function of one parameter α and a Koebe function. The resulting function is characterized by many properties, the most important of which is that it is convergent. This paper finds many recursive relations, finds functions that are difficult to find
Ali Halil Ghathith   +2 more
openaire   +2 more sources

Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function

open access: yes, 2018
In this paper generalized form of some new inequalities of the Hadamard and the Fejer-Hadamard type have been established. Fractional integral operators due to an extended generalized Mittag-Leffler function via harmonically convex functions are utilized
G. Farid, A. Rehman, Sheharyar Mehmood
semanticscholar   +1 more source

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