Existence, uniqueness and Ulam's stabilities for a class of impulsive Langevin equation with Hilfer fractional derivatives

被引：2

作者：

Rizwan, Rizwan ^{[1
]}

Lee, Jung Rye ^{[2
]}

Park, Choonkil ^{[3
]}

Zada, Akbar ^{[4
]}

机构：

[1] Univ Buner, Dept Math, Buner, Pakistan

[2] Daejin Univ, Dept Data Sci, Kyunggi 11159, South Korea

[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

[4] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 04期

关键词：

Langevin equation; Hilfer fractional derivative; impulse; Ulam-Hyers stability; DIFFERENTIAL-EQUATIONS; ORDER;

D O I：

10.3934/math.2022345

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, a class of impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness and different types of Ulam-Hyers stability results of our proposed model, with the help of Banach's fixed point theorem. An example is provided at the end to illustrate our results.

引用

页码：6204 / 6217

页数：14

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