Results 81 to 90 of about 5,162,458 (169)

On The Mittag-Leffler Polynomials and Deformed Mittag-Leffler Polynomials [PDF]

, 2019
The present study deals with some new properties for the Mittag-Leffler polynomials and the deformed Mittag-Leffler polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous ...
Özmen, Nejla, Yılmaz, Nihal
core   +2 more sources

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source

Fractional operators with generalized Mittag-Leffler k-function

Advances in Difference Equations, 2019
In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
doaj   +1 more source

Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. [PDF]

Adv Differ Equ, 2021
Khan A, Zarin R, Humphries UW, Akgül A, Saeed A, Gul T.   +5 more
europepmc   +1 more source

Rational Approximations for the Oscillatory Two-Parameter Mittag–Leffler Function

The two-parameter Mittag–Leffler function Eα,β is of fundamental importance in fractional calculus, and it appears frequently in the solutions of fractional differential and integral equations.
Aljowhara H. Honain, Ibrahim O. Sarumi, Abdul Q. M. Khaliq, Khaled M. Furati   +3 more
core   +1 more source

Integral representation of the viscoelastic relaxation function

上海师范大学学报. 自然科学版, 2019
In this paper, the integral representation of relaxation function is discussed. The stress-strain relationship equation of Maxwell model is obtained by Laplace transformation.
XIU Guozhong, WANG Liying, SHI Bao, HE Yingzheng   +3 more
doaj   +1 more source

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

Oscillatory integrals for Mittag-Leffler functions with two variables: Oscillatory integrals for Mittag-Leffler functions

In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
IKROMOV, IA, Ruzhansky, M, SAFAROV, AR
core   +1 more source

Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

, 2017
In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function.
Jagdev Singh, Anupama Choudhary, Devendra Kumar   +2 more
core   +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