Atomic Solution of Fractional Abstract Cauchy Problem of High Order in Banach Spaces

被引：3
|
作者：
Bekraoui, Fatema [1 ]
Al Horani, Mohammad [1 ]
Khalil, Roshdi [1 ]
机构：
[1] Univ Jordan, Sch Sci, Dept Math, Amman, Jordan
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 01期
关键词：
Tensor product of Banach spaces; atomic solution; conformable derivative; abstract Cauchy problem;
D O I：
10.29020/nybg.ejpam.v15i1.4226
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Abstract Cauchy problem, which is a vector valued differential equation is an important equation in many branches of science. Authors usually study and discuss first and second order abstract Cauchy problem. In this paper, we try to find atomic solutions of the fractional abstract Cauchy problem with order 3 alpha, where alpha is an element of (0, 1). It turned out that there are so many cases to consider in order to determine atomic solution.
引用
收藏
页码：106 / 125
页数：20
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