Results 91 to 100 of about 3,918 (208)

On Bessel-Maitland Function and m-Parameter Mittag-Leffler Function Associated with Fractional Calculus Operators and its Applications

, 2023
Fractional calculus is of utmost importance because of its extensive use in various fields of inequality theory, applied mathematics, science and engineering. In this paper, our aim is to discuss some image formulas involving various fractional operators
Mishra Pandey, Rupakshi, Chandola, Ankita, Agarwal, Ritu   +2 more
core   +1 more source

A Novel Generalized Time-Stepping Scheme for Time-Fractional Reaction–Diffusion Models Using a New Rational Function Approximation of Mittag-Leffler Functions

Axioms
The Mittag-Leffler function holds significant importance in fractional calculus due to its extensive applications in addressing challenges across science, engineering, biology, hydrology, and earth sciences.
Madushi U. Wickramasinghe, Olaniyi S. Iyiola   +1 more
doaj   +1 more source

ON EXTENSION OF MITTAG-LEFFLER FUNCTION

, 2016
In this paper, we study the extended Mittag -Leffler function by using generalized beta function and obtain various differential properties, integral representations.
Joshi, Sunil, Pandey, Rupakshi M., Mittal, Ekta   +2 more
core  

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

Integral representations of Mittag-Leffler function on the positive real axis

Trends in Computational and Applied Mathematics, 2019
The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.
Eliana Contharteze Grigoletto, Edmundo Capelas Oliveira, Rubens Figueiredo Camargo   +2 more
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

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

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

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