A Class of Digital Integrators Based on Trigonometric Quadrature Rules

Ali, Talal Ahmed Ali; Xiao, Zhu; Jiang, Hongbo; Li, Bo

doi:10.1109/tie.2023.3290247

Cited by 31 publications

(8 citation statements)

References 24 publications

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“…Let the degree of the function ( f ), denoted by the symbol (D), be such that D[f] = N, with (N) being a positive integer. Equation (9) replaces equation (8). The terms are collected to equal the same power of j i (ψ) .…”

Section: ( ) ( ) ( ) ( )mentioning

confidence: 99%

“…These studies contribute significantly to their respective fields, showcasing advancements in numerical techniques, electronic systems, and modeling of physical phenomena. Shi et al focus on predicting laminar-turbulent transition employing complex standard eigenvalue problem derivative computation [7], while Ali et al propose a class of digital integrators based on trigonometric quadrature rules for industrial electronics applications [8]. Du and Wang investigate intra-event spatial correlations for seismic parameters, offering insights into regional site conditions [9].…”

Section: Introductionmentioning

confidence: 99%

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Fractional Fokas-Lenells equation: analyzing travelling waves via advanced analytical method

Alqudah,

Alderremy,

Mossa Al-Sawalha

et al. 2024

Phys. Scr.

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In this paper, we consider the fractional Fokas-Lenells equation, which allows us to analyze how a nonlinear optic pulse spreads in time as single-mode fiber produces higher-order nonlinear effects. We have computed perfectly accurate travelling wave solutions for the Fokas-Lenells equation using the Riccati-Bernoulli sub-Ode approach. For the corresponding equation, we have established three distinct classes of perfectly accurate travelling wave solutions with different free parameters; hyperbolic, trigonometric, and rational. A sophisticated Backlund transformation is implemented to the equation to change it to ordinary differential equation domain, leading to many extra exact solutions.

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Section: ( ) ( ) ( ) ( )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional Fokas-Lenells equation: analyzing travelling waves via advanced analytical method

Alqudah,

Alderremy,

Mossa Al-Sawalha

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Additionally, research explored the influence of institutional investor ESG activism on Frontiers in Environmental Science frontiersin.org promoting environmentally friendly innovation in corporations as a means to address climate change, with particular attention to the disparities between digital and non-digital firms (Xu et al, 2021;Hu et al, 2023;Xu et al, 2023;Yang et al, 2023;Chen et al, 2024). The findings shed light on the potential of ESG activism to stimulate sustainable practices and innovation in the corporate domain (Chen and Pan, 2019;Biliavska et al, 2022;Chen and Su, 2022;Luo et al, 2023;Shen et al, 2023;Ali et al, 2024;Luo et al, 2024).…”

Section: Skills Investment For Shared Prosperitymentioning

confidence: 99%

Exploring the structure of the digital economy through blockchain technology and mitigating adverse environmental effects with the aid of artificial neural networks

Cai,

Hong

2024

Front. Environ. Sci.

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The rapid expansion of the digital economy has had a transformative impact on society, presenting both opportunities and challenges. This article aims to examine the structure of the digital economy and its implications, with a specific focus on the adverse environmental effects associated with its rapid growth. To address these challenges, the utilization of artificial neural networks is proposed as a viable solution. ANNs have proven to be effective in analyzing large volumes of data and extracting valuable insights. By integrating blockchain technology and harnessing the power of ANNs, this study seeks to develop management strategies that optimize resource allocation, reduce waste, and promote sustainability within the digital economy. Through comprehensive data analysis, patterns and trends can be identified, providing decision-makers with valuable information to make informed choices that minimize the environmental impact of digitalization. This research significantly contributes to the existing body of knowledge by enhancing our understanding of the digital economy’s structure, particularly in the context of blockchain technology. The ANN in this study estimated the impact of digital economy growth and structure improvement on adverse environmental effects, waste reduction, and environmental sustainability. The predictions showed that increasing digital economy growth led to increased waste reduction and promotion of environmental sustainability, while adverse environmental effects exhibited sinusoidal behavior. Linear regression confirmed the acceptable error of the network’s predictions compared to experimental results. Furthermore, it sheds light on the potential of ANNs to mitigate the adverse environmental effects associated with the digital economy. By emphasizing the importance of sustainable practices and exploring the applications of emerging technologies, this study offers valuable insights for policymakers, researchers, and industry practitioners seeking to navigate the complex landscape of the digital economy while minimizing its environmental consequences.

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“…Many other researchers worked on existence and uniqueness of fractional differential equations using different definitions of fractional derivatives [ 21 – 27 ]. In parallel to these studies, many other analytical and numerical methods have been proposed in [ 28 – 38 ].…”

Section: Introductionmentioning

confidence: 99%

Existence and uniqueness of well-posed fractional boundary value problem

Wang,

Jurrat,

Ejaz

et al. 2024

PLoS ONE

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In this paper, the existence and uniqueness of solution for a fractional differential model involving well-posed boundary conditions and implicit fractional differential equation is considered. The desired goals are achieved by using Banach contraction principle and Scheafer’s fixed point theorem. To show the results applicability some examples are presented. The basic mathematical concept of well-posed fractional boundary value issues is investigated in this study. It dives into the existence and uniqueness of these difficulties, offering light on the conditions that allow for both practical and singular solutions. This study contributes to a better knowledge of fractional calculus and its applications in a variety of scientific and technical areas, giving significant insights for both scholars and practitioners.

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A Class of Digital Integrators Based on Trigonometric Quadrature Rules

Cited by 31 publications

References 24 publications

Fractional Fokas-Lenells equation: analyzing travelling waves via advanced analytical method

Fractional Fokas-Lenells equation: analyzing travelling waves via advanced analytical method

Exploring the structure of the digital economy through blockchain technology and mitigating adverse environmental effects with the aid of artificial neural networks

Existence and uniqueness of well-posed fractional boundary value problem

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