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Evaluating the efficiency of fractional integration parameter estimators
(TAYLOR & FRANCIS LTD, 2010)
This article deals with the efficiency of fractional integration parameter estimators. This study was based on Monte Carlo experiments involving simulated stochastic processes with integration orders in the range]-1,1[. ...
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
(Springer, 2009-03-01)
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which ...
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
(Springer, 2009-03-01)
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which ...
Approximation of solutions to fractional integral equation
(ELSEVIER, 2010)
In this paper we shall study a fractional integral equation in an arbitrary Banach space X.
We used the analytic semigroups theory of linear operators and the fixed point method to
establish the existence and uniqueness ...
Generalized inequalities involving fractional operators of the Riemann-Liouville type
(2021)
In this paper, we present a general formulation of the well-known fractional drifts of
Riemann-Liouville type. We state the main properties of these integral operators. Besides, we study Ostrowski, Szekely-Clark-Entringer ...
Hermite-hadamard inequalities type for raina’ fractional integral operator using η−convex functions
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2019)
On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
(Springer, 2012-03-01)
The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a ...
On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
(Springer, 2012-03-01)
The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a ...
On weighted inequalities for fractional integrals of radial functions
(Univ Illinois Urbana-champaign, 2011-05)
We prove a weighted version of the Hardy-Littlewood-So- bolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classical inequality due to Stein and Weiss ...