Aims This study explored concerns among nurses working in the United Arab Emirates associated with use of electronic health records, including privacy, confidentiality, security and patient safety. Background Given widespread implementation there are about data integrity that could jeopardize healthcare quality. Addressing nurses’ safety is critical to inform policies promote public trust. Methods Nurses settings ( N = 562) were invited share their using a mixed‐method approach. Data...

Abstract This article mainly explores and applies a modified form of the analytical method, namely homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction–diffusion equations (TFCRDEs). Then we address error norms $L_{2}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> $L_{\infty }$...

We study optimal control problems for a class of second-order stochastic differential equation driven by mixed-fractional Brownian motion with non-instantaneous impulses. By using analysis theory, strongly continuous cosine family, and fixed point approach, we establish the existence mild solutions system. Moreover, results are derived without uniqueness Finally, main validated aid an example.

In this article, we study the stochastic fractional optimal control problem for a system governed by class of non-instantaneous impulsive differential equation in infinite-dimensional spaces. We utilize calculus, analysis theory and suitable fixed point approach to present solvability system. Then, existence state-control pairs Lagrange is derived without uniqueness solutions Finally, main results are validated with aid an example.

Abstract Based on the work of Mauldin and Williams [‘On Hausdorff dimension some graphs’, Trans. Amer. Math. Soc. 298 (2) (1986), 793–803] convex Lipschitz functions, we prove that fractal interpolation functions belong to space under certain conditions. Using this, obtain results for functions. We also give bounds with help oscillation spaces.

Abstract In this paper, a discrete model of fractional‐order bidirectional associative memory (BAM) neural networks with leakage delay is considered. Sufficient conditions are established for the existence, uniqueness and uniform stability nontrivial solutions addressed model. Our approach based on implementation newly defined fractional calculus, mathematical inequalities fixed point theorems. We provide an example that supports application theoretical results.

Abstract The problem of approximate controllability is investigated in this paper for a class fractional stochastic differential equations driven by Brownian motion with non‐instantaneous impulses and Poisson jumps. results are obtained employing the η ‐resolvent family Krasnoselskii's fixed point theorem. Further, we derive trajectory proposed control system. Finally, an example provided to illustrate theory.

Abstract A human being standing upright with his feet as the pivot is most popular example of stabilized inverted pendulum. Achieving stability pendulum has become common challenge for engineers. In this paper, we consider an initial value discrete fractional Duffing equation forcing term. We establish existence, Hyers–Ulam stability, and Mittag-Leffler solutions equation. modeled by example. The values are tabulated simulated to show consistency theoretical findings.

In this manuscript, fractional order is introduced onto a time‐delay differential equation model of cell‐to‐cell spread HIV‐1. The derivative Caputo type considered. We deal with the local stability resulting system and derive some necessary sufficient conditions ensuring Hopf bifurcation to occur for system. Explicit expressions determining critical surfaces are also given. An Adams‐type predictor–corrector technique applied illustrate numerical results. main target study describe structure...

In recent years, renewable energy (RE) has shown promise as a sustainable solution to the rising demand worldwide. Photovoltaic (PV) technology emerged highly viable RE alternative. The majority of PV schemes use specific models with specified parameters. This study proposes model generic specifications, array, DC/DC converter, DC/AC inverter, maximum power point tracking (MPPT), and grid synchronization using feedback control system under MATLAB/Simulink environment. Various MPPT techniques...

In this article, we investigate partial integrals and derivatives of bivariate fractal interpolation functions. We prove also that the mixed Riemann-Liouville fractional integral derivative order $γ= (p, q); p &gt; 0,q 0$, functions are again corresponding to some iterated function system (IFS). Furthermore, discuss transforms