Results 51 to 60 of about 10,764 (212)

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

Some multiple generating functions involving Mittag-Leffler’s functions

International Journal of Engineering, Science and Technology, 1970
In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert and Delerue can be extended to a new class of generating relations for generalized Mittag-Leffler’s functions. A number of new and known double and multiple generating functions involving the product of classical polynomials and functions are considered as ...
Kamarujjama, M, Khan, NU, Khan, WA
openaire   +3 more sources

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

Generalized Fractional Integrals Involving Product of a Generalized Mittag–Leffler Function and Two H-Functions

Foundations, 2022
The objective of this research is to obtain some fractional integral formulas concerning products of the generalized Mittag–Leffler function and two H-functions.
Prakash Singh, Shilpi Jain, P. Agarwal
semanticscholar   +1 more source

Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform

AIMS Mathematics, 2022
In this paper, we discuss standard approaches to the Hyers-Ulam Mittag Leffler problem of fractional derivatives and nonlinear fractional integrals (simply called nonlinear fractional differential equation), namely two Caputo fractional derivatives using
Anumanthappa Ganesh, Swaminathan Deepa, Dumitru Baleanu, Shyam Sundar Santra, Osama Moaaz , Vediyappan Govindan, Rifaqat Ali   +6 more
doaj   +1 more source

On Refinement of Bounds of Fractional Integral Operators Containing Extended Generalized Mittag-Leffler Functions [PDF]

Sahand Communications in Mathematical Analysis
In this paper, it is aimed to improvement the boundaries of fractional integral operators containing extended generalized Mittag-Leffler functions. The offered results enhance the previously known bounds of the distinct fractional integral operators for ...
Ayşe Kübra Demirel
doaj   +1 more source

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

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

On Some Operators Involving Hadamard Derivatives [PDF]

, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

Integro-differential diffusion equation for continuous time random walk

, 2010
In this paper we present an integro-differential diffusion equation for continuous time random walk that is valid for a generic waiting time probability density function.
A. Carpinteri, A. Erdelyi, H. Risken, K. G. Wang, Kwok Sau Fa, R. Kubo   +5 more
core   +1 more source