Results 61 to 70 of about 715,675 (203)

The Calderón problem for the fractional magnetic operator [PDF]

open access: yesInverse Problems, 2020
Abstract We introduce a fractional magnetic operator involving a magnetic potential and an electric potential. We formulate an inverse problem for the fractional magnetic operator. We determine the electric potential from the exterior partial measurements of the associated Dirichlet-to-Neumann map by using Runge approximation property.
openaire   +3 more sources

On weighted generalized fractional and Hardy-type operators acting between Morrey-type spaces

open access: yes, 2017
We study weighted generalized Hardy and fractional operators acting from generalized Morrey spaces Lp,φ,(n) into Orlicz-Morrey spaces LΦ,φ,(n). We deal with radial quasi-monotone weights and assumptions imposed on weights are given in terms of Zigmund ...
Natasha Samko   +3 more
core   +1 more source

Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]

open access: yes, 2008
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
core   +1 more source

Optimal control of fractional systems: a diffusive formulation [PDF]

open access: yes, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

On the fractional Laplacian and nonlocal operators [PDF]

open access: yes, 2018
The aim of this work is to study certain type of operators that have adquired a renewed relevance in the last decade. This wide class of operators, genericaly called nonlocal operators, appears naturally in many applications in physics, probability ...
Restrepo Montoya, Daniel Eduardo
core  

On weighted Atangana–Baleanu fractional operators

open access: yesAdvances in Difference Equations, 2020
In this paper, we define the weighted Atangana–Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to define the weighted Atangana–Baleanu ...
Mohammed Al-Refai
doaj   +1 more source

A design methodology to enable sampling PLLs to synthesise fractional-N frequencies [PDF]

open access: yes, 2011
A novel design methodology is proposed to enable sampling phase-locked loops (SPLL) to synthesise fractional-N frequencies. To date, SPLL can only generate integer-N frequencies.
Xu, Tao   +2 more
core   +1 more source

Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]

open access: yes, 2009
We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
core  

Development of Fractional Newton-Type Inequalities Through Extended Integral Operators [PDF]

open access: yes
This paper introduces a new class of Newton-type inequalities (NTIs) within the framework of extended fractional integral operators. This study begins by establishing a fundamental identity for generalized fractional Riemann–Liouville (FR-L ...
Hüseyin Budak   +9 more
core   +1 more source

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