NEUTRAL DELAY HILFER FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION

被引：12

作者：

Alnafisah, Yousef ^{[1
]}

Ahmed, Hamdy M. ^{[2
]}

机构：

[1] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[2] El Shorouk Acad, Higher Inst Engn, Cairo, Egypt

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 03期

关键词：

Key words and phrases; Neutral delay integrodifferential equations; Hilfer fractional derivative; Existence of solutions; controllability; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY; SYSTEMS; DRIVEN; EXISTENCE; EVOLUTION;

D O I：

10.3934/eect.2021031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of mild solu-tions for neutral delay Hilfer fractional integrodifferential equations with frac-tional Brownian motion. Sufficient conditions for controllability of neutral delay Hilfer fractional differential equations with fractional Brownian motion are established. The required results are obtained based on the fixed point the-orem combined with the semigroup theory, fractional calculus and stochastic analysis. Finally, an example is given to illustrate the obtained results.

引用

页码：925 / 937

页数：13

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