首页    期刊浏览 2024年11月27日 星期三
登录注册

文章基本信息

  • 标题:Existence of solution for 2-D time-fractional differential equations with a boundary integral condition
  • 本地全文:下载
  • 作者:Lotfi Kasmi ; Amara Guerfi ; Said Mesloub
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-019-2444-2
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article, we prove the existence and uniqueness of a solution for 2-dimensional time-fractional differential equations with classical and integral boundary conditions. We start by writing this problem in the operator form and we choose suitable spaces and norms. Then we establish prior estimates from which we deduce the uniqueness of the strong solution. For the existence of solution for the fractional problem, we prove that the range of the operator generated by the considered problem is dense.
  • 关键词:Fractional differential equations ; A priori estimate method ; Boundary integral condition ; Existence and uniqueness ;
国家哲学社会科学文献中心版权所有