Results 61 to 70 of about 10,764 (212)
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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Dirichlet Averages of Generalized Mittag-Leffler Type Function
Fractal and Fractional, 2022 Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware of the function, the Mittag-Leffler function and its various extensions (referred to as Mittag-Leffler ...
Dinesh Kumar, Jeta Ram, Junesang Choi
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On the fractional Poisson process and the discretized stable subordinator [PDF]
, 2015 The fractional Poisson process and the Wright process (as discretization of the stable subordinator) along with their diffusion limits play eminent roles in theory and simulation of fractional diffusion processes.
Gorenflo, Rudolf, Mainardi, Francesco
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Monte Carlo simulation of uncoupled continuous-time random walks yielding a stochastic solution of the space-time fractional diffusion equation [PDF]
, 2008 We present a numerical method for the Monte Carlo simulation of uncoupled continuous-time random walks with a Levy alpha-stable distribution of jumps in space and a Mittag-Leffler distribution of waiting times, and apply it to the stochastic solution of ...
A. I. Saichev +17 more
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, 2007 We show the asymptotic long-time equivalence of a generic power law waiting time distribution to the Mittag-Leffler waiting time distribution, characteristic for a time fractional CTRW.
Gorenflo, Rudolf, Mainardi, Francesco
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A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations
Abstract and Applied Analysis, 2012 Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions.
Thabet Abdeljawad +2 more
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, 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 +2 more
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New Derivatives on Fractal Subset of Real-line
, 2015 In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets.
Baleanu, Dumitru +1 more
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EULER TYPE INTEGRAL OPERATOR INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION
Acta Universitatis Apulensis, 2018 Summary: The main object of the present research note is to establish an Euler type integral operator involving generalized Mittag-Leffler function defined by \textit{M. A. Khan} and \textit{S. Ahmed} [``On some properties of the generalized Mittag-Leffler function'', SpringerPlus 2, No. 1, Article Nr. 337, 9p. (2013; \url{doi:10.1186/2193-1801-2-337}].
Khan, Waseem A. +2 more
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Researches in MathematicsThis research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
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