FRACTIONAL LANGEVIN EQUATIONS WITH INFINITE-POINT BOUNDARY CONDITION: APPLICATION TO FRACTIONAL HARMONIC OSCILLATOR

被引：4
|
作者：
Almaghamsi, Lamya [1 ]
Salem, Ahmed [2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Jeddah, Coll Sci, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 06期
关键词：
Fractional Langevin equations; fixed point theorem; existence and uniqueness; infinite-point boundary condition; mean; and variance; EXISTENCE;
D O I：
10.11948/20230124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The current study is concerned with the existence and uniqueness of the solution to the Langevin equation of two separate fractional orders. With the infinite-point boundary condition, the boundary value problem is studied. The Banach contraction principle, Leray-nonlinear Schauder's alternative, and Leray-Schauder degree theorems are all implemented. A numerical example is presented to demonstrate the accuracy of our results. In addition, as an application of our results, the mean and variance of a fractional harmonic oscillator with the undamped angular frequency of the oscillator under the effect of a random force described as Gaussian colored noise are calculated.
引用
收藏
页码：3504 / 3523
页数：20
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