Analytic approximate solutions for a class of variable order fractional differential equations using the polynomial least squares method
Author:
Affiliation:
1. “Politehnica” University of Timişoara , Dept. of Mathematics P-ta Victoriei, 2 , Timişoara , 300006 , Romania
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Analysis
Link
https://www.degruyter.com/document/doi/10.1515/fca-2017-0054/pdf
Reference14 articles.
1. T.M. Atanackovic, S. Pilipovic, Hamilton’s principle with variable order fractional derivatives. Fract. Calc. Appl. Anal. 14, No 1 (2011), 94–109; 10.2478/s13540-011-0007-7; https://www.degruyter.com/view/j/fca.2011.14.issue-1/issue-files/fca.2011.14.issue-1.xml.
2. W. Chen, J.J. Zhang, J.Y. Zhang, A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures. Fract. Calc. Appl. Anal. 16, No 1 (2013), 76–92; 10.2478/s13540-013-0006-y; https://www.degruyter.com/view/j/fca.2013.16.issue-1/issue-files/fca.2013.16.issue-1.xml.
3. Y.M. Chen, Y.Q. Wei, D.Y. Liu, H. Yu, Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets. Appl. Math. Lett. 46 (2015), 83–88; 10.1016/j.aml.2015.02.010.
4. G.R.J. Cooper, D.R. Cowan, Filtering using variable order vertical derivatives. Comput. Geosci. 30 (2004), 455–459; 10.1016/j.cageo.2004.03.001.
5. F. Geng, M. Cui, A reproducing kernel method for solving nonlocal fractional boundary value problems. Appl. Math. Lett. 25 (2012), 818–823; 10.1016/j.aml.2011.10.025.
Cited by 12 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. A novel study on a fractional-order heat conduction model for the human head by using the least-squares method;International Journal of Dynamics and Control;2022-10-06
2. Some novel mathematical analysis on a corneal shape model by using Caputo fractional derivative;Optik;2022-07
3. Applications of OHAM and MOHAM for Fractional Seventh-Order SKI Equations;Journal of Applied Mathematics;2021-12-31
4. The Chebyshev Collocation Least Squares Approximation Method for the Audio Data;The 2nd International Conference on Computing and Data Science;2021-01-28
5. A semi-analytical method for solving a class of non-homogeneous time-fractional partial differential equations;International Journal of Computing Science and Mathematics;2021
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