Results 41 to 50 of about 1,991 (228)

A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations

, 2007
A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables and the ...
A. M. Mathai, A.A. Kilbas, A.M. Mathai, A.M. Mathai, A.M. Mathai, A.M. Mathai, A.M. Mathai, B.I. Henry, B.I. Henry, B.I. Henry, C. Tsallis, C. Tsallis, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, K.K. Jose, K.K. Manne, R. K. Saxena, R.K. Saxena, R.M. Kulsrud, V.V. Uchaikin   +23 more
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Poisson-type processes governed by fractional and higher-order recursive differential equations [PDF]

, 2009
We consider some fractional extensions of the recursive differential equation governing the Poisson process, by introducing combinations of different fractional time-derivatives.
Beghin, Luisa, Orsingher, Enzo
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Fejér–Hadamard Type Inequalities for (α, h-m)-p-Convex Functions via Extended Generalized Fractional Integrals

Fractal and Fractional, 2021
Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
G. Farid, M. Yussouf, K. Nonlaopon
semanticscholar   +1 more source

SOME FORMULAS OF FRACTIONAL TRIGONOMETRIC FUNCTIONS

2021 INTERNATIONAL CONFERENCE ON ADVANCED EDUCATION AND INFORMATION MANAGEMENT (AEIM 2021), 2021
. This paper studies some properties of fractional trigonometric sine and cosine functions and we obtain the fractional Dirichlet kernel. The Mittag-Leffler function plays an important role in this article, and the results we obtained are the ...
CHII-HUEI CHII-HUEI
semanticscholar   +1 more source

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
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Generating a New Convolution Function From Mittag‐Leffler and Koebe Functions

International Journal of Mathematics and Mathematical Sciences
This paper describes the generation of a new function using the convolution process for a Mittag‐Leffler function of one parameter α and a Koebe function. The resulting function is characterized by many properties, the most important of which is that it is convergent. This paper finds many recursive relations, finds functions that are difficult to find
Ali Halil Ghathith, Ahmed Mohammed Ali, Mohammed Thanoon Al-Neima   +2 more
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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
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Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]

, 2014
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
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Differential Subordination and Superordination for a Generalized Differential Operator Involving Mittag-Leffler Function [PDF]

Kragujevac Journal of Mathematics, 2021
Abstract. Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator He m δ,p(α, β, a1, b1)f(z) is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator ...
SUHILA ELHADDAD, MASLINA DARUS
openaire   +1 more source

Some Properties of Mittag-Leffler Functions and Matrix-Variate Analogues: A Statistical Perspective [PDF]

, 2010
Mathematical Subject Classification 2010:26A33, 33E99, 15A52, 62E15.Mittag-Leffler functions and their generalizations appear in a large variety of problems in different areas. When we move from total differential equations to fractional equations Mittag-
Mathai, A.
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