Results 101 to 110 of about 3,918 (208)

Fractional Tarig transform and Mittag - Leffler function

open access: yesBoletim 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
openaire   +4 more sources

Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function

open access: yes, 2023
The two-parameter Mittag-Leffler function $E_{\alpha, \beta}$ is of fundamental importance in fractional calculus. It appears frequently in the solutions of fractional differential and integral equations.
Furati, Khaled M.   +3 more
core  

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

open access: yesInternational 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   +3 more
doaj   +2 more sources

Parsimonious Continuous Time Random Walk Models and Kurtosis for Diffusion in Magnetic Resonance of Biological Tissue

open access: yesFrontiers in Physics, 2015
In this paper, we provide a context for the modeling approaches that have been developed to describe non-Gaussian diffusion behavior, which is ubiquitous in diffusion weighted magnetic resonance imaging of water in biological tissue.
Carson eIngo   +5 more
doaj   +1 more source

Several Turán-Type Inequalities for the Generalized Mittag-Leffler Function

open access: yes, 2020
In this paper, several Turán-type inequalities for the more generalized Mittag-Leffler function are proved.
Xiang Kai Dou, Li Yin, Xiu-Li Lin
core   +1 more source

Extension of Mittag-Leffler function

open access: yes, 2017
In this paper, we present an extension of Mittag-Leffler function by using the extension of beta functions (Özergin et al. in J. Comput. Appl. Math. 235 (2011), 4601-4610) and obtain some integral representation of this newly defined function. Also, we present the Mellin transform of this function in terms of Wright hypergeometric function. Furthermore,
Rahman, G.   +3 more
openaire   +2 more sources

On a unification of Mittag-Leffler function and Wright function

open access: yes
We introduce here a function that unifies Mittag-Leffler function and Wright function which is referred to here as an UMLW-function. This function turns out to be a solution of an infinite order differential equation.
CHUDASAMA, Meera H.
core   +1 more source

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

open access: yesAbstract and Applied Analysis, 2012
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions.
Thabet Abdeljawad   +2 more
doaj   +1 more source

Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function

open access: yesEuropean Journal of Pure and Applied Mathematics
Building on recent research that established partial sum and lower bounds for various special functions, this paper extends the scope to investigate the normalized Le Roy-type Mittag-Leffler-Prabhakar and Barnes-Mittag-Leffler functions. We aim to determine lower bounds for these functions and their partial sums.
Shahid Khan   +5 more
openaire   +1 more source

Subordination properties of the class of spirallike functions associated with the Barnes-Mittag-Leffler function

open access: yes
Mittag-Leffler fonksiyonunun ve genelleştirmelerinin mühendislik, fizik, biyoloji ve diğer uygulamalı bilimlerdeki doğrudan kullanımları daha fazla tanınmasını sağlamıştır.
Altinkaya, Şahsene
core   +1 more source

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