Results 181 to 190 of about 19,869 (230)

Generalized mittag-leffler function and generalized fractional calculus operators

Integral Transforms and Special Functions, 2004
A. Kilbas, M. Saigo, R. Saxena
semanticscholar   +3 more sources

The Classical Mittag-Leffler Function

Springer Monographs in Mathematics, 2020
In this chapter we present the basic properties of the classical Mittag-Leffler function E α (z) (see (1.0.1)). The material can be formally divided into two parts.
R. Gorenflo, A. Kilbas, F. Mainardi, S. Rogosin   +3 more
semanticscholar   +2 more sources

Stability and synchronization criteria for fractional order competitive neural networks with time delays: An asymptotic expansion of Mittag Leffler function

Journal of the Franklin Institute, 2019
Competitive neural networks(CNNs) has not been well developed in nonlinear fractional order dynamical system, which is developed first time in this paper.
A. Pratap, R. Raja, Jinde Cao, Jinde Cao, G. Rajchakit, H. Fardoun   +5 more
semanticscholar   +1 more source

Exponential Asymptotics of the Mittag—Leffler Function

Constructive Approximation, 2002
The authors give a very detailed analysis of asymptotic behaviour (near infinity) of the Mittag-Leffler function \(E_{\alpha,\beta}\), thereby putting special emphasis on possible occurrence of exponentially small additional terms after the algebraically decaying terms.
Wong, R., Zhao, Yu-Qiu
openaire   +4 more sources

Star Mittag-Leffler Function

Geometry, Integrability and Quantization, 2021
Star product for functions of one variable is given. A deformation of the Mittag-Leffler functions is suggested by means of the star product.
openaire   +1 more source

New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

, 2020
In this paper, numerical solution of the mathematical model describing the deathly disease in pregnant women with fractional order is investigated with the help of q-homotopy analysis transform method (q-HATM).
Wei Gao, P. Veeresha, D. G. Prakasha, H. Baskonus, Gulnur Yel   +4 more
semanticscholar   +1 more source

A further extension of Mittag-Leffler function

Fractional Calculus and Applied Analysis, 2018
In this paper an extended generalized Mittag-Leffler function Eρ,σ,τδ,r,q,c(z;p) $\begin{array}{} \displaystyle E_{\rho,\sigma,\tau}^{\delta,r,q,c}(z;p) \end{array}$ and the corresponding fractional integral operator εa+,ρ,σ,τw,δ,q,r,cf $\begin{array}{} \
M. Andrić, G. Farid, J. Pečarić
semanticscholar   +1 more source

q-Mittag–Leffler Functions

2012
The classical Mittag–Leffler function plays an important role in fractional differential equations. In this chapter we mention in brief the q-analogues of the Mittag–Leffler functions defined by mathematicians. We pay attention to a pair of q-analogues of the Mittag–Leffler function that may be considered as a generalization of the q-exponential ...
Mahmoud H. Annaby, Zeinab S. Mansour
openaire   +1 more source

A study of fractional integral operators involving a certain generalized multi‐index Mittag‐Leffler function

Mathematical methods in the applied sciences, 2018
Motivated by the demonstrated potential for their applications in various research areas such as those in mathematical, physical, engineering, and statistical sciences, our main object in this paper is to introduce and investigate a fractional integral ...
H. Srivastava, M. Bansal, P. Harjule
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On a certain bivariate Mittag‐Leffler function analysed from a fractional‐calculus point of view

Mathematical methods in the applied sciences, 2020
Mittag‐Leffler functions of one variable play a vital role in several areas of study. Their connections with fractional calculus enable many physical processes, such as diffusion and viscoelasticity, to be efficiently modelled. Here, we consider a Mittag‐
Cemaliye Kürt, M. A. Özarslan, A. Fernandez   +2 more
semanticscholar   +1 more source