Results 31 to 40 of about 715,675 (203)

Analysis of the Fractional HIV Model under Proportional Hadamard-Caputo Operators

open access: yesFractal and Fractional, 2023
Modeling human immunodeficiency virus (HIV) via fractional operators has several benefits over the classical integer-order HIV model. The reason is that the fractional HIV model relies not only on the recent status but also on the former conduct of the ...
Areej A. Almoneef   +2 more
doaj   +1 more source

Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

open access: yesJournal of Function Spaces, 2014
(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out.
Jiang Zhou, Dinghuai Wang
doaj   +1 more source

Some new results on hermite-hadamard-mercer-type inequalities using a general family of fractional integral operators [PDF]

open access: yes, 2021
The aim of this article is to obtain new Hermite-Hadamard-Mercer-type inequalities using Raina's fractional integral operators. We present some distinct and novel fractional Hermite-Hadamard-Mercer-type inequalities for the functions whose absolute value
Set, Erhan, Aslan, Mucahit, Celik, Baris
core   +1 more source

Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator

open access: yesInternational Journal of Differential Equations, 2019
Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
doaj   +1 more source

Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]

open access: yes, 2009
Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
core   +1 more source

The Minkowski inequality involving generalized k-fractional conformable integral

open access: yesJournal of Inequalities and Applications, 2019
In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen   +2 more
doaj   +1 more source

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

open access: yesResults in Control and Optimization, 2023
Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed.
C.W. Chukwu   +3 more
doaj   +1 more source

Fractional Calculus Operators and the Mittag-Leffler Function

open access: yes, 2022
This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are ...

core   +1 more source

Certain New Chebyshev and Grüss-Type Inequalities for Unified Fractional Integral Operators via an Extended Generalized Mittag-Leffler Function

open access: yesFractal and Fractional, 2022
In this paper, by adopting the classical method of proofs, we establish certain new Chebyshev and Grüss-type inequalities for unified fractional integral operators via an extended generalized Mittag-Leffler function. The main results are more general and
Wengui Yang
doaj   +1 more source

On the Boundedness of the Fractional Bergman Operators [PDF]

open access: yesAbstract and Applied Analysis, 2017
We give a necessary and sufficient condition for the boundedness of the Bergman fractional operators.
openaire   +3 more sources

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