Results 31 to 40 of about 16,663 (301)
Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
Journal 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
International 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
Fractional Calculus Operators and the Mittag-Leffler Function
, 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
On fractional deviation operators
Le Matematiche, 1997 Let \(I_{c+}^{\alpha}f = \frac{1}{\Gamma (\alpha)}\int_c^x (x-t)^{\alpha -1} f(t)dt \) be the Riemann-Liouville fractional integral . Aiming to study relations between fractional integrals with different end-points \(c\), the author considers the operator \(I_{b+}^{\alpha} I_{a+}^{\alpha}- I_{c+}^{\alpha+\beta}\) which he calls the deviation operator ...
Peña, Carlos C., Carlos C. Peña
openaire +4 more sources
The Minkowski inequality involving generalized k-fractional conformable integral
Journal 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
Simulation of fractionally damped mechanical systems by means of a Newmark-diffusive scheme [PDF]
, 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
Generalized fractional Dirac type operators
, 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 E. +2 more
core +2 more sources
Fractional transformations of generalised functions
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +5 more
core +1 more source
Unitary fractional-order derivative operators for quantum computation
, 2021 Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
core +1 more source
On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics
Results 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