首页    期刊浏览 2024年11月25日 星期一
登录注册

文章基本信息

  • 标题:A study on fractional differential equations using the fractional Fourier transform
  • 本地全文:下载
  • 作者:Porpattama Hammachukiattikul ; Arusamy Mohanapriya ; Anumanthappa Ganesh
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-22
  • DOI:10.1186/s13662-020-03148-0
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This study aims to use the fractional Fourier transform for analyzing various types of Hyers–Ulam stability pertaining to the linear fractional order differential equation with Atangana and Baleanu fractional derivative. Specifically, we establish the Hyers–Ulam–Rassias stability results and examine their existence and uniqueness for solving nonlinear problems. Simulation examples are presented to validate the results.
  • 关键词:Hyers–Ulam–Rassias stability ; Fourier transform ; Mittag-Leffler kernel ; Caputo–Fabrizio fractional differential equation
国家哲学社会科学文献中心版权所有