Sufficient conditions for existence of mild solutions for nondensely defined conformable fractional evolution equations in Banach spaces

被引：1

作者：

El Asraoui, Hiba ^{[1
]}

El Mfadel, Ali ^{[1
,2
]}

Hilal, Khalid ^{[1
]}

Elomari, Mhamed ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal, Morocco

[2] Sultan Slimane Univ, Super Sch Technol, Khenifra, Morocco

来源：

FILOMAT | 2024年 / 38卷 / 06期

关键词：

Conformable fractional derivative; conformable semigroup; Hile-Yosida theorem;

D O I：

10.2298/FIL2406127E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main crux of this paper is to give some new sufficient conditions for the existence and uniqueness of solutions to a class of conformable fractional evolution equations with nondense domain in a Banach space. The proofs of our main results are based on some basic tools of conformable fractional calculus, conformable semigroup and Hile-Yosida theorem. As an application, a nontrivial example is given to illustrate the theoretical results.

引用

页码：2127 / 2142

页数：16

共 9 条

[1] EXISTENCE OF MILD SOLUTIONS FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
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[9] Traveling wave solutions in closed form for some nonlinear fractional evolution equations related to conformable fractional derivative
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