Tensor product and inverse fractional abstract Cauchy problem

被引:2
|
作者
Seddiki, F. [1 ]
Alhorani, M. [1 ]
Khalil, R. [1 ]
机构
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
关键词
Tensor product of Banach spaces; Atom function; Finite rank function;
D O I
10.1007/s12215-022-00769-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we find atomic solution and finite rank function solution for fractional abstract Cauchy problem. The fractional derivative used is conformable derivative. The main idea of the proofs is based on theory of tensor product of Banach spaces.
引用
收藏
页码:2321 / 2332
页数:12
相关论文
共 50 条
  • [21] EXISTENCE OF SOLUTIONS FOR THE SEMILINEAR ABSTRACT CAUCHY PROBLEM OF FRACTIONAL ORDER
    Henriquez, Hernan R.
    Poblete, Veronica
    Pozo, Juan C.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (05) : 1409 - 1444
  • [22] Stability of mild solutions of the fractional nonlinear abstract Cauchy problem
    Sousa, J. Vanterler da C.
    Kucche, Kishor D.
    de Oliveira, E. Capelas
    ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (01): : 272 - 288
  • [23] The Abstract Cauchy Problem with Caputo-Fabrizio Fractional Derivative
    Bravo, Jennifer
    Lizama, Carlos
    MATHEMATICS, 2022, 10 (19)
  • [24] Inverse source problem for the abstract fractional differential equation
    Kostin, Andrey B.
    Piskarev, Sergey, I
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2021, 29 (02): : 267 - 281
  • [25] On an inverse problem for an abstract differential equation of fractional order
    A. V. Glushak
    Mathematical Notes, 2010, 87 : 654 - 662
  • [26] On an inverse problem for an abstract differential equation of fractional order
    Glushak, A. V.
    MATHEMATICAL NOTES, 2010, 87 (5-6) : 654 - 662
  • [27] Inverse abstract Cauchy problems
    Ozawa, Tohru
    Restrepo, Joel E.
    Suragan, Durvudkhan
    APPLICABLE ANALYSIS, 2022, 101 (14) : 4965 - 4969
  • [28] Fractional Abstract Cauchy Problems
    Li Kexue
    Peng Jigen
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 70 (03) : 333 - 361
  • [29] Fractional Abstract Cauchy Problems
    Li Kexue
    Peng Jigen
    Integral Equations and Operator Theory, 2011, 70 : 333 - 361
  • [30] Direct and inverse theorems of approximate methods for the solution of an abstract Cauchy problem
    Torba S.M.
    Ukrainian Mathematical Journal, 2007, 59 (6) : 919 - 937