Results 11 to 20 of about 755,580 (294)
On the Definitions of Nabla Fractional Operators [PDF]
Abstract and Applied Analysis, 2012 We show that two recent definitions of discrete nabla fractional sum operators are related. Obtaining such a relation between two operators allows one to prove basic properties of the one operator by using the known properties of the other. We illustrate
Thabet Abdeljawad, Ferhan M. Atici
doaj +5 more sources
Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
doaj +2 more sources
Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators [PDF]
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
doaj +2 more sources
New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators [PDF]
Fractal and FractionalThe role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq +4 more
doaj +2 more sources
Nonlocal and Fractional Operators
, 2021 The purpose of this volume is to explore new bridges between different research areas involved in the theory and applications of the fractional calculus. In particular, it collects scientific and original contributions to the development of the theory of
Luisa Beghin +2 more
openaire +2 more sources
Spectral properties of fractional differentiation operators [PDF]
Electronic Journal of Differential Equations, 2018 We consider the fractional differentiation operators in a variety of senses. We show that the strong accretive property is the common property of fractional differentiation operators.
Maksim V. Kukushkin
doaj +3 more sources
Abstract and Applied Analysis, 2013 The local fractional variational iteration method for local fractional Laplace equation is investigated in this paper. The operators are described in the sense of local fractional operators. The obtained results reveal that the method is very effective.
Yong-Ju Yang +2 more
doaj +2 more sources
Generalized fractional Dirac type operators [PDF]
, 2023 We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian-Caputo fractional derivative and the fractional Laplacian, both operators defined with respect to some given functions ...
Restrepo, Joel +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 +2 more
core +4 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 +5 more
core +4 more sources