The numerical solution of fractional differential equations using the Volterra integral equation method based on thin plate splines
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computer Science Applications,General Engineering,Modeling and Simulation,Software
Link
http://link.springer.com/content/pdf/10.1007/s00366-018-0671-x.pdf
Reference75 articles.
1. Oldham KB, Spanier J (1974) The fractional calculus. Academic Press, New York
2. Mandelbrot B (1967) Some noises with 1/f spectrum, a bridge between direct current and white noise. IEEE Trans Inf Theory 13(2):289–298
3. Rossikhin YA, Shitikova MV (1997) Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Appl Mech Rev 50:15–67
4. Mainardi F (1997) Fractional calculus: some basic problems in continuum and statistical mechanics. In: Carpmten A, Mainardi F (eds) Fractals and fractional calculus in continuum mechanics, CISM Courses and Lectures. Springer, Vienna
5. Baillie RT (1996) Long memory processes and fractional integration in econometrics. J Econom 73:5–59
Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Spectral methods utilizing generalized Bernstein‐like basis functions for time‐fractional advection–diffusion equations;Mathematical Methods in the Applied Sciences;2024-09
2. Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels;Computational and Applied Mathematics;2024-07-12
3. Numerical solution of the multi-order fractional differential equation using Legendre wavelets and eigenfunction approach;Partial Differential Equations in Applied Mathematics;2024-06
4. Singular asymptotic expansion and Legendre collocation method for two-term weakly singular Volterra integral equation of the second kind;Applied Numerical Mathematics;2024-03
5. Numerical solutions of fractional differential equation with multiple delays via block boundary value method;International Journal of Dynamics and Control;2023-06-03
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3