Results 31 to 40 of about 10,348 (263)

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

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

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

Fractional‐order operators on nonsmooth domains

open access: yesJournal of the London Mathematical Society, 2023
AbstractThe fractional Laplacian , , and its generalizations to variable‐coefficient ‐order pseudodifferential operators , are studied in ‐Sobolev spaces of Bessel‐potential type . For a bounded open set , consider the homogeneous Dirichlet problem: in , in .
Abels, Helmut, Grubb, Gerd
openaire   +4 more sources

On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels

open access: yesMathematics, 2019
We formulate a new class of fractional difference and sum operators, study their fundamental properties, and find their discrete Laplace transforms. The method depends on iterating the fractional sum operators corresponding to fractional differences with
Thabet Abdeljawad, Arran Fernandez
doaj   +1 more source

Weighted inequalities for fractional Hardy operators and commutators

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we introduce a fractional maximal operators Nα $N_{\alpha }$ on (0,∞) $(0,\infty )$ associated to the fractional Hardy operator Pα $P_{\alpha }$ and its dual Qα,0 ...
Wenming Li, Dong Liu, Jing Liu
doaj   +1 more source

New numerical approximation for Chua attractor with fractional and fractal-fractional operators

open access: yesAlexandria Engineering Journal, 2020
In this study, we present new numerical scheme for modified Chua attractor model with fractional operators. However we give numerical solution of the considered model with fractal-fractional operators.
Abdon Atangana, Seda İğret Araz
doaj   +1 more source

On Novel Fractional Integral and Differential Operators and Their Properties

open access: yesJournal of Mathematics, 2023
The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen   +6 more
doaj   +1 more source

Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan   +3 more
doaj   +1 more source

Dualities and Asymptotic Mixtures Using Functional-Order Differentiation

open access: yesAppliedMath, 2022
New definitions for fractional integro-differential operators are presented and referred to as delayed fractional operators. It is shown that delayed fractional derivatives give rise to the notion of functional order differentiation.
Aris Alexopoulos
doaj   +1 more source

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