Results 91 to 100 of about 192 (182)

Linear fractional diffusion-wave equation for scientists and engineers

open access: yes, 2015
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the ...
Povstenko, Yuriy
core   +1 more source

SOME REMARKS ON GENERALIZED MITTAG-LEFFLER FUNCTION

open access: yes, 2009
The principal aim of the paper is to establish the function and its properties by using Fractional Calculus. We also obtained some integral representations of the function which is recently introduced by Shukla and Prajapati[6].
SHUKLA, AJAY K, PRAJAPATI, JYOTINDRA C
openaire   +1 more source

On a Generalized Mittag-Leffler Function and Fractional Integrals

open access: yesFundamental Journal of Mathematics and Applications
The object of this paper is to study a generalized Mittag-Leffler function and a modified general class of functions which is reducible to several special functions. convergent conditions of these functions are discussed. Some results pertaining to the generalized Mittag-Leffler function and generating relations involving these functions are ...
openaire   +2 more sources

Fundamental solutions for semidiscrete evolution equations via Banach algebras. [PDF]

open access: yesAdv Differ Equ, 2021
González-Camus J, Lizama C, Miana PJ.
europepmc   +1 more source

Lamperti-type laws

open access: yes, 2010
This paper explores various distributional aspects of random variables defined as the ratio of two independent positive random variables where one variable has an α-stable law, for 0<α <1, and the other variable has the law defined by polynomially ...
Lancelot F. James, James, Lancelot F.
core   +1 more source

On a recurrence relation of generalized Mittag-Leffler function

open access: yesSurveys in Mathematics and its Applications, 2009
Summary: The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function \(E_{\alpha ,\beta }^{\gamma ,q}(z)\). At the end several special cases are also discussed.
Ajay K. Shukla, Jyotindra C. Prajapati
openaire   +2 more sources

Home - About - Disclaimer - Privacy