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
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 04期
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
  • [1] Tensor product and inverse fractional abstract Cauchy problem
    F. Seddiki
    M. Alhorani
    R. Khalil
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2321 - 2332
  • [2] ON GENERAL FRACTIONAL ABSTRACT CAUCHY PROBLEM
    Mei, Zhan-Dong
    Peng, Ji-Gen
    Zhang, Yang
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (06) : 2753 - 2772
  • [3] Direct and Inverse Fractional Abstract Cauchy Problems
    Al Horani, Mohammed
    Favini, Angelo
    Tanabe, Hiroki
    MATHEMATICS, 2019, 7 (11)
  • [4] Abstract Cauchy problem for fractional differential equations
    JinRong Wang
    Yong Zhou
    Michal Fec̆kan
    Nonlinear Dynamics, 2013, 71 : 685 - 700
  • [5] Abstract Cauchy problem for fractional differential equations
    Wang, JinRong
    Zhou, Yong
    Feckan, Michal
    NONLINEAR DYNAMICS, 2013, 71 (04) : 685 - 700
  • [6] Normal periodic solutions for the fractional abstract Cauchy problem
    Jennifer Bravo
    Carlos Lizama
    Boundary Value Problems, 2021
  • [7] FRACTIONAL ABSTRACT CAUCHY PROBLEM ON COMPLEX INTERPOLATION SCALES
    Lopushansky, Andriy
    Lopushansky, Oleh
    Szpila, Anna
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (04) : 1125 - 1140
  • [8] ABSTRACT CAUCHY PROBLEM FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Zhou, Yong
    Jiao, Feng
    Pecaric, Josip
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 42 (01) : 119 - 136
  • [9] Normal periodic solutions for the fractional abstract Cauchy problem
    Bravo, Jennifer
    Lizama, Carlos
    BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
  • [10] Cauchy Problem for an Abstract Evolution Equation of Fractional Order
    Kukushkin, Maksim V.
    FRACTAL AND FRACTIONAL, 2023, 7 (02)
12345