Fractional Calculus and Applied Analysis最新文献_第7页

Fractional Wiener chaos: Part 1 分数维纳混沌第 1 部分

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-10-08 DOI: 10.1007/s13540-024-00343-8

Elena Boguslavskaya, Elina Shishkina

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引用次数: 0

Variable-order fractional 1-Laplacian diffusion equations for multiplicative noise removal 用于消除乘法噪声的变阶分数 1-Laplacian 扩散方程

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-10-08 DOI: 10.1007/s13540-024-00345-6

Yuhang Li, Zhichang Guo, Jingfeng Shao, Yao Li, Boying Wu

引用次数: 0

A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems 用于计算能源系统中功率流问题解决方案的分数阶派生牛顿-拉斐森方法

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-10-08 DOI: 10.1007/s13540-024-00342-9

Francisco Damasceno Freitas, Laice Neves de Oliveira

{"title":"A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems","authors":"Francisco Damasceno Freitas, Laice Neves de Oliveira","doi":"10.1007/s13540-024-00342-9","DOIUrl":"https://doi.org/10.1007/s13540-024-00342-9","url":null,"abstract":"Some nonlinear real-valued equations have no solution in the real number field, and only roots of this nature are of practical interest. However, complex roots associated with the solution may introduce an interpretation of the physical problem analysis. This paper investigates the solution of nonlinear equations exploiting fractional order derivative (FOD) calculus resources. The theory addresses a solver that considers the FOD and Newton-Raphson method. The problem is extended to a multivariate fractional order derivative (MFOD) method so that a set of nonlinear equations can be resolved iteratively. Applications to the computation of the power flow problem in energy systems are used to illustrate some types of equations and solutions. The MFOD uses a numerical limits technique to determine a Jacobian required for the fractional application. This work demonstrates how real-valued nonlinear equations with complex roots can be solved by the MFOD Newton-Raphson approach. The results indicate the potentiality of the method reaches complex-valued solutions despite the iterative process starting with a real-valued guess. The complex-valued results are interpreted considering the connection between the imaginary part of a root and the divergence of the classical Newton-Raphson (CNR) method.","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"56 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142385763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional Sobolev type spaces of functions of two variables via Riemann-Liouville derivatives 通过黎曼-刘维尔导数计算两变量函数的分数索波列夫类型空间

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-10-07 DOI: 10.1007/s13540-024-00344-7

Dariusz Idczak

引用次数: 0

Sticky Brownian motions on star graphs 星图上的粘性布朗运动

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-09-18 DOI: 10.1007/s13540-024-00336-7

Stefano Bonaccorsi, Mirko D’Ovidio

引用次数: 0

Group classification of time fractional Black-Scholes equation with time-dependent coefficients 具有时间相关系数的时间分数 Black-Scholes 方程的分组分类

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-09-16 DOI: 10.1007/s13540-024-00339-4

Jicheng Yu, Yuqiang Feng

引用次数: 0

Reconstruction of a fractional evolution equation with a source 重构带源的分数演化方程

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-09-16 DOI: 10.1007/s13540-024-00337-6

Amin Boumenir, Khaled M. Furati, Ibrahim O. Sarumi

引用次数: 0

Optimal solvability for the fractional p-Laplacian with Dirichlet conditions 具有迪里夏特条件的分数 p-拉普拉奇的最优可解性

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-09-13 DOI: 10.1007/s13540-024-00341-w

Antonio Iannizzotto, Dimitri Mugnai

引用次数: 0

Existence, multiplicity and asymptotic behaviour of normalized solutions to non-autonomous fractional HLS lower critical Choquard equation 非自治分式 HLS 下临界 Choquard 方程归一化解的存在性、多重性和渐近行为

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-09-13 DOI: 10.1007/s13540-024-00338-5

Jianlun Liu, Hong-Rui Sun, Ziheng Zhang

引用次数: 0

Radial symmetry of positive solutions for a tempered fractional p-Laplacian system 节制分数 p-拉普拉斯系统正解的径向对称性

IF 3 2区数学

Fractional Calculus and Applied Analysis Pub Date : 2024-09-12 DOI: 10.1007/s13540-024-00340-x

Xueying Chen

引用次数: 0