Results 81 to 90 of about 10,764 (212)

Aging properties of an anomalously diffusing particle

, 2002
We report new results about the two-time dynamics of an anomalously diffusing classical particle, as described by the generalized Langevin equation with a frequency-dependent noise and the associated friction. The noise is defined by its spectral density
Aslangul, Cugliandolo, Grabert, Kubo, Kubo, Lutz, Mauger, Metzler, Noëlle Pottier, Pottier, Schramm, Weiss   +11 more
core   +2 more sources

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

Journal of Inequalities and Applications, 2019
In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
S. Rashid, F. Safdar, A. Akdemi̇r, M. Noor, K. Noor   +4 more
semanticscholar   +1 more source

On Extended General Mittag–Leffler Functions and Certain Inequalities

Fractal and Fractional, 2019
In this paper, we introduce and investigate generalized fractional integral operators containing the new generalized Mittag−Leffler function of two variables.
Marcela V. Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Tingsong Du, Artion Kashuri, Khalida Inayat Noor   +5 more
doaj   +1 more source

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
core   +1 more source

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source

New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

Journal of Inequalities and Applications, 2020
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang, Ghulam Farid, Muhammad Yussouf, Khuram Ali Khan, Atiq Ur Rahman   +4 more
doaj   +1 more source

Fractional calculus and continuous-time finance II: the waiting-time distribution

, 2000
We complement the theory of tick-by-tick dynamics of financial markets based on a Continuous-Time Random Walk (CTRW) model recently proposed by Scalas et al., and we point out its consistency with the behaviour observed in the waiting-time distribution ...
Butzer, Caputo, Clark, Enrico Scalas, Francesco Mainardi, Gel'fand, Gorenflo, Gorenflo, Gorenflo, Hilfer, Hughes, Klafter, Lefol, Mainardi, Mainardi, Mainardi, Mantegna, Marco Raberto, Montroll, Montroll, Montroll, Podlubny, Rudolf Gorenflo, Saichev, Samko, Schneider, Weiss, Weiss   +27 more
core   +3 more sources

EULER TYPE INTEGRAL INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION

Communications of the Korean Mathematical Society, 2014
Abstract. In this paper, we obtain some theorems on certain Euler typeintegrals involving generalized Mittag-Leffler function. Further, we de-duce some special cases involving Wiman function, Prabhakar functionand exponential and binomial functions. 1. IntroductionIn 1903, the Swedish mathematician Gosta Mittag-Leffler [6] introduced thefunction(1.1) E α ...
Shakeel Ahmed, Mumtaz Ahmad Khan
openaire   +2 more sources

A generalization of the Becker model in linear viscoelasticity: Creep, relaxation and internal friction

, 2018
We present a new rheological model depending on a real parameter $\nu \in [0,1]$ that reduces to the Maxwell body for $\nu=0$ and to the Becker body for $\nu=1$.
Mainardi, Francesco, Masina, Enrico, Spada, Giorgio   +2 more
core   +1 more source

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Demonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized h h -preinvex functions is obtained. Subsequently, an integral
Wenbing Sun, Haiyang Wan
semanticscholar   +1 more source