Inhomogeneous conformable abstract Cauchy problem

被引：8

作者：

Rabhi, Lahcene ^{[1
]}

Al Horani, Mohammed ^{[1
]}

Khalil, Roshdi ^{[1
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

来源：

OPEN MATHEMATICS | 2021年 / 19卷 / 01期

关键词：

alpha-semigroup of operators; conformable derivative; inhomogeneous Cauchy problem; EXISTENCE; CALCULUS; THEOREMS;

D O I：

10.1515/math-2021-0064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given. Existence, uniqueness and regularity of a mild solution for the con- formable abstract Cauchy problem are studied. Applications illustrating our main abstract results are also given.

引用

页码：690 / 705

页数：16

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