The Existence of Mild Solutions and Approximate Controllability for Nonlinear Fractional Neutral Evolution Systems

被引：2

作者：

Echchaffani, Zoubida ^{[1
]}

Aberqi, Ahmed ^{[2
]}

Karite, Touria ^{[3
]}

Leiva, Hugo ^{[4
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab Math Anal & Applicat LAMA, Atlas BP 1796, Fes, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci, Lab Math Anal & Applicat LAMA, Ave My Abdallah Km 5 Route Imouzzer, BP 72, Fes, Morocco

[3] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci, Lab Engn Syst & Applicat LISA, Ave My Abdallah Km 5 Route Imouzzer, BP 72, Fes, Morocco

[4] Yachay Tech Univ, Sch Math & Computat Sci, Dept Math, Urcuqui 100115, Ecuador

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2024年 / 34卷 / 01期

关键词：

fractional neutral evolution system; approximate controllablity; mild solution; Riemann-Liouville derivatives; DIFFERENTIAL-EQUATIONS; DELAY;

D O I：

10.61822/amcs-2024-0002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The existence of mild solutions and approximate controllability for Riemann-Liouville fractional neutral evolution systems with nonlocal conditions of a fractional order is investigated. The Laplace transform and semigroup theory are the tools used to prove the existence. In turn, approximate controllability is proved on the basis of a Nemytskii operator, a Mittag-Leffler function and certain hypotheses using fixed point theorems, as well as the construction of a Cauchy sequence. An example is provided to highlight the main results.

引用

页码：15 / 27

页数：13

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