Results 81 to 90 of about 1,835 (178)
Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function. [PDF]
Adv Differ Equ, 2021 Khan A +5 more
europepmc +1 more source
Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe 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 +2 more
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 +2 more
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 +3 more
doaj +2 more sources
Frontiers 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
Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function
European Journal of Pure and Applied MathematicsBuilding 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
Extension of Mittag-Leffler function
, 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
A study of generalized Mittag-Leffler-type function of arbitrary order
Demonstratio MathematicaWe present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj +1 more source
A study of integral formulas for the generalized p-k-Mittag–Leffler function
Mathematics OpenThis paper presents a comprehensive system of integration formulas for the generalized p-k-Mittag–Leffler function. By extending and synthesizing multiple mathematical results through the properties of the k-Gamma function, we derive general integral ...
Anu Arora, Shilpi Jain
doaj +1 more source
Computing the Mittag-Leffler function of a matrix argument
Fractional Calculus and Applied AnalysisAbstractIt is well-known that the two-parameter Mittag-Leffler (ML) function plays a key role in Fractional Calculus. In this paper, we address the problem of computing this function, when its argument is a square matrix. Effective methods for solving this problem involve the computation of higher order derivatives or require the use of mixed precision
openaire +3 more sources