261 research outputs found
The Use Of Physical Restraint: An Argumentative Essay
This study was conducted to review the literature about the use of physical restraints as an argumentative issue. The use of physical restraints has been reported with varying prevalence from 41% to 64% according to epidemiological studies. In this study, the author reviewed the opinions of the opponent and proponent viewpoints regarding physical restraints from legal and ethical perspectives. The ideas of proponents implied that the use of physical restraints offers protection for patients and others as well as ensures introducing good treatment. On the other hand, the opponents think that the use of physical restraints is not well safe and associated with legal and ethical issues. Furthermore, psychological injuries and mental problems have been reported to be associated with the use of physical restraints. The author agrees with the opponents and does not support the use of physical restraints because it involves ethical, legal and health impacts
Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations
We introduce new fractional operators of variable order on isolated time
scales with Mittag-Leffler kernels. This allows a general formulation of a
class of fractional variational problems involving variable-order difference
operators. Main results give fractional integration by parts formulas and
necessary optimality conditions of Euler-Lagrange type.Comment: This is a preprint of a paper whose final and definite form is with
Springe
Razumikhin Stability Theorem for Fractional Systems with Delay
Fractional calculus techniques and methods started to be applied successfully during the last decades in several fields of science and engineering. In this paper we studied the stability of fractional-order nonlinear time-delay systems for Riemann-Liouville and Caputo derivatives and we extended Razumikhin theorem for the fractional nonlinear time-delay systems
Time-Fractional Optimal Control of Initial Value Problems on Time Scales
We investigate Optimal Control Problems (OCP) for fractional systems
involving fractional-time derivatives on time scales. The fractional-time
derivatives and integrals are considered, on time scales, in the
Riemann--Liouville sense. By using the Banach fixed point theorem, sufficient
conditions for existence and uniqueness of solution to initial value problems
described by fractional order differential equations on time scales are known.
Here we consider a fractional OCP with a performance index given as a
delta-integral function of both state and control variables, with time evolving
on an arbitrarily given time scale. Interpreting the Euler--Lagrange first
order optimality condition with an adjoint problem, defined by means of right
Riemann--Liouville fractional delta derivatives, we obtain an optimality system
for the considered fractional OCP. For that, we first prove new fractional
integration by parts formulas on time scales.Comment: This is a preprint of a paper accepted for publication as a book
chapter with Springer International Publishing AG. Submitted 23/Jan/2019;
revised 27-March-2019; accepted 12-April-2019. arXiv admin note: substantial
text overlap with arXiv:1508.0075
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