Results 91 to 100 of about 534,889 (233)

Some Applications of Mittag-Leffler Function in the Unit Disk

, 2016
The importance of Mitttag-Leffler function due to its involvement in many problems in natural and applied science. In this paper we introduce an operator associated with generalized Mittag-Leffler function in the unit disk U={z:|z|
Adel A. Attiyaa, A. A. Attiya
semanticscholar   +1 more source

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
S. Rashid, F. Safdar, A. Akdemi̇r, M. Noor, K. Noor   +4 more
semanticscholar   +1 more source

On an approximate functional equation involving the divisor function [PDF]

arXiv, 2014
The error term in the approximate functional equation for exponential sums involving the divisor function will be improved under certain conditions for the parameters of the approximate functional equation.
arxiv  

Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution

Mathematics, 2019
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag ...
S. Araci, G. Rahman, A. Ghaffar, Azeema, K. Nisar   +4 more
semanticscholar   +1 more source

Modified Fractional Power Series Method for solving fractional partial differential equations

Scientific African
The literature revealed that the Fractional Power Series Method (FPSM), which uses the Mittag-Leffler function in one parameter, has been gainfully applied in obtaining the solutions of fractional partial differential equations (FPDEs) in one dimension ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj  

Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]

Sahand Communications in Mathematical Analysis
The generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function.  The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan, Dinesh Kumar, Kottakkaran Nisar   +2 more
doaj   +1 more source

Some completely monotonic functions involving the $q$-gamma function [PDF]

arXiv, 2010
We present some completely monotonic functions involving the $q$-gamma function that are inspired by their analogues involving the gamma function.
arxiv  

Fractional Tarig transform and Mittag - Leffler function

Boletim da Sociedade Paranaense de Matemática, 2017
In the present paper the Tarig transform of fractional order is studied by employing Mittag - Leffler function. Properties of Tarig transform are proved using the same fractional Tarig transform.
Deshna Loonker, P. K. Banerji
doaj   +1 more source

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

International Journal of Analysis and Applications, 2019
We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨uss type. A cluster of fractional integral inequalities have been identified by setting particular values
G. Farid, A. U. Rehman, Vishnu Narayan Mishra, S. Mehmood   +3 more
doaj   +2 more sources

On Mittag-Leffler-type functions in fractional evolution processes [PDF]

, 2000
Francesco Mainardi, Rudolf Gorenflo
openalex   +1 more source