a-Whittaker controllability of ?-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion

被引：0

作者：

Ghaemi, Mohammad Bagher ^{[1
]}

Mottaghi, Fatemeh ^{[1
]}

Saadati, Reza ^{[1
]}

Allahviranloo, Tofigh ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

[2] Istinye Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 05期

关键词：

-Hilfer fractional derivative; Stochastic evolution equations; Fractional Brownian motion; Controllability; Whittaker function; Economic growth model; Ramsey model; DIFFERENTIAL-EQUATIONS; STABILITY; EXISTENCE;

D O I：

10.1007/s40314-023-02357-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the fractional-order system in the sense of?-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion. Applying the fixed point tech-nique, we prove that there exists a mild solution for the problem and introduce a new type of stability. Finally, we present two examples to demonstrate how the obtained results might be applied.

引用

页数：12

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