Results 11 to 20 of about 4,310,333 (249)

On Λ-Fractional Viscoelastic Models

Axioms, 2021
Λ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving.
Anastassios K. Lazopoulos, Dimitrios Karaoulanis   +1 more
doaj   +2 more sources

On the fractional deformation of a linearly elastic bar

Journal of the Mechanical Behavior of Materials, 2020
Fractional derivatives have non-local character, although they are not mathematical derivatives, according to differential topology. New fractional derivatives satisfying the requirements of differential topology are proposed, that have non-local ...
Lazopoulos Konstantinos A., Lazopoulos Anastasios K.   +1 more
doaj   +2 more sources

Some Estimates of Rough Bilinear Fractional Integral [PDF]

Journal of Function Spaces and Applications, 2012
We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
doaj   +2 more sources

Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator [PDF]

Abstract and Applied Analysis, 2010
We consider the generalized shift operator, associated with the Dunkl operator Λα(f)(x)=(d/dx)f(x)+((2α+1)/x)((f(x)-f(-x))/2), α>-1/2.
Emin V. Guliyev, Yagub Y. Mammadov
doaj   +2 more sources

Parabolic Fractional Maximal Operator in Modified Parabolic Morrey Spaces [PDF]

Journal of Function Spaces and Applications, 2012
We prove that the parabolic fractional maximal operator MαP, 0 ...
Vagif S. Guliyev, Kamala R. Rahimova
doaj   +2 more sources

A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn [PDF]

Abstract and Applied Analysis, 2012
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces.
Zun Wei Fu, Shan Zhen Lu, Wen Yuan
doaj   +2 more sources

Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space

Journal of Inequalities and Applications
In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( w ) ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ .
Muhammad Asim, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki   +3 more
doaj   +2 more sources

Fractional calculus of periodic distributions [PDF]

, 2011
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson, Khaula N. Khan, Khan, Khaula Naeem, Mcbride, Adam, Adam C. McBride, Wilson Lamb   +5 more
core   +3 more sources

Fractional transformations of generalised functions [PDF]

, 2009
A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson, Khan, Khaula Naeem, McBride, Adam C.   +2 more
core   +3 more sources

On Λ-Fractional Analysis and Mechanics

, 2022
Λ-Fractional analysis was introduced to fill up the mathematical gap exhibited in fractional calculus, where the various fractional derivatives fail to fulfill the prerequisites demanded by differential topology.
Konstantinos Lazopoulos, Konstantinos A. Lazopoulos   +1 more
core   +1 more source