Results 51 to 60 of about 715,675 (203)

MORREY SPACES AND FRACTIONAL OPERATORS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2010
AbstractThe relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.
openaire   +1 more source

Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]

open access: yes, 2010
A Newmark-diffusive scheme is presented for the time-domain solution of dynamic systems containing fractional derivatives. This scheme combines a classical Newmark time-integration method used to solve second-order mechanical systems (obtained for ...
Matignon, Denis   +3 more
core   +1 more source

On generalized fractional integral with multivariate Mittag-Leffler function and its applications

open access: yesAlexandria Engineering Journal, 2022
The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir   +6 more
doaj   +1 more source

A new approach for the fractional integral operator in time scales with variable exponent lebesgue spaces

open access: yes, 2021
Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis.
Akın, Lütfi
core  

Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces [PDF]

open access: yes, 2018
We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, generalised Bessel-Riesz operators and generalised fractional integral ...
Yessirkegenov, N   +5 more
core   +1 more source

Neural Approximators for Variable-Order Fractional Calculus Operators (VO-FC)

open access: yesIEEE Access, 2022
The paper presents research on the approximation of variable-order fractional operators by recurrent neural networks. The research focuses on two basic variable-order fractional operators, i.e., integrator and differentiator.
Bartosz Puchalski
doaj   +1 more source

A Note on Extended Saigo Operators and Their q-analogues

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
Megumi Saigo derived generalized fractional operators, involving Gauss hypergeometric function, having four special cases: Riemann-Liouville, Weyl, Erd´elyKober left and right sided fractional operators.
K. K. Chaudhary, S. B. Rao
doaj   +1 more source

Fractional Calculus of Extended Mittag-Leffler Function and Its Applications to Statistical Distribution

open access: yesMathematics, 2019
Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag ...
Serkan Araci   +4 more
doaj   +1 more source

Weighted inequalities for fractional integral operators with kernel satisfying Hörmander type conditions [PDF]

open access: yes, 2011
In this paper we study inequalities with weights for fractional operators Tαgiven by convolution with a kernel Kαwhich is supposed to satisfy some size condition and a fractional Hörmander type condition.
Riveros, Maria Silvina   +2 more
core   +1 more source

Study of HIV Disease and Its Association with Immune Cells under Nonsingular and Nonlocal Fractal-Fractional Operator

open access: yesComplexity, 2021
HIV, like many other infections, is a severe and lethal infection. Fractal-fractional operators are frequently used in modeling numerous physical processes in the current decade.
Shabir Ahmad   +3 more
doaj   +1 more source

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