Results 31 to 40 of about 10,260 (153)

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

Fractal and Fractional, 2021
The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan, Shailesh Jaloree, Junesang Choi   +2 more
doaj   +1 more source

The Integral Mittag-Leffler, Whittaker and Wright Functions

Mathematics, 2021
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

Generalized Mittag-Leffler Distributions and Processes for Applications in Astrophysics and Time Series Modeling

, 2010
Geometric generalized Mittag-Leffler distributions having the Laplace transform $\frac{1}{1+\beta\log(1+t^\alpha)},00$ is introduced and its properties are discussed.
A Erdélyi, AG Pakes, AJ Lawrance, C Jacques, C Tsallis, CR Rao, DN Anderson, DN Dewald, DP Gaver, GD Lin, GD Lin, GD Lin, GD Lin, HJ Haubold, K Jayakumar, K Jayakumar, K Jayakumar, K Weron, L Devroye, LB Klebanov, RK Saxena, RK Saxena, RK Saxena, RN Pillai, RN Pillai, RN Pillai, RN Pillai, RN Pillai, S Kotz, S Kotz, TJ Kozubowski, TJ Kozubowski, V Seetha Lekshmi, V Seetha Lekshmi, Y Fujita   +34 more
core   +1 more source

Certain geometric properties of Mittag-Leffler functions

Journal of Inequalities and Applications, 2019
In this paper, some geometric properties of normalized Mittag-Leffler functions are investigated. We focus on starlikeness of order 2μ+η−1 $2\mu +\eta -1$ and convexity in the direction of imaginary axis.
Saddaf Noreen, Mohsan Raza, Sarfraz Nawaz Malik   +2 more
doaj   +1 more source

On Generalized Fractional Kinetic Equations

, 2004
In a recent paper, Saxena et al. [1] developed the solutions of three generalized fractional kinetic equations in terms of Mittag-Leffler functions.
A.M. Mathai, H.J. Haubold, Haubold, Hilfer, Jorgenson, Mathai, Metzler, Mittag-leffler, Prabhakar, R.K. Saxena, Saxena, Srivastava, Tsallis, Tsallis   +13 more
core   +1 more source

Analysis of Discrete Mittag - Leffler Functions

International Journal of Analysis and Applications, 2015
Discrete Mittag - Leffler functions play a major role in the development of the theory of discrete fractional calculus. In the present article, we analyze qualitative properties of discrete Mittag - Leffler functions and establish sufficient conditions ...
N. Shobanadevi, J. Jagan Mohan
doaj   +2 more sources

Reaction-diffusion systems and nonlinear waves

, 2007
The authors investigate the solution of a nonlinear reaction-diffusion equation connected with nonlinear waves. The equation discussed is more general than the one discussed recently by Manne, Hurd, and Kenkre (2000).
A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. M. Mathai, A. Wiman, A.A. Kilbas, A.A. Kilbas, B.H. Gilding, B.I. Henry, B.I. Henry, B.I. Henry, D.E. Strier, E. Orsingher, G. Doetsch, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, J. Smoller, K.B. Oldham, K.K. Manne, K.S. Miller, M. Caputo, M.G. Mittag-Leffler, M.G. Mittag-Leffler, M.M. Dzherbashyan, M.M. Dzherbashyan, P. Grindrod, R. K. Saxena, R. Metzler, R. Metzler, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.M. Kulsrud, S.G. Samko, T.R. Prabhakar   +38 more
core   +1 more source

Tur\'an type inequalities for regular Coulomb wave functions

, 2015
Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest.
Baricz, Árpád
core   +1 more source

3D investigation and modeling of the geometric effects on porosity in packed beds

AIChE Journal, EarlyView.
Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach, Konrad E. R. Boettcher, Alexander S. Sommer‐Behr, Norbert Kockmann   +3 more
wiley   +1 more source

Differentiation of the Wright Functions with Respect to Parameters and Other Results

Applied Sciences, 2022
In this work, we discuss the derivatives of the Wright functions (of the first and the second kinds) with respect to parameters. The differentiation of these functions leads to infinite power series with the coefficients being the quotients of the ...
Alexander Apelblat, Francesco Mainardi
doaj   +1 more source