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
相关论文
共 50 条
  • [31] Two Point Fractional Boundary Value Problems with a Fractional Boundary Condition
    Jeffrey W. Lyons
    Jeffrey T. Neugebauer
    Fractional Calculus and Applied Analysis, 2018, 21 : 442 - 461
  • [32] TWO POINT FRACTIONAL BOUNDARY VALUE PROBLEMS WITH A FRACTIONAL BOUNDARY CONDITION
    Lyons, Jeffrey W.
    Neugebauer, Jeffrey T.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (02) : 442 - 461
  • [33] MULTIPLE POSITIVE SOLUTIONS FOR A SYSTEM OF FRACTIONAL HIGHER-ORDER INFINITE-POINT BOUNDARY VALUE PROBLEMS
    Rao, A. Kameswara
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (01): : 34 - 46
  • [34] EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATION WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS
    Guo, Limin
    Zhao, Jingbo
    Dong, Shuang
    Hou, Xinglin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (05): : 1786 - 1800
  • [35] Fractional Langevin Equations with Nonseparated Integral Boundary Conditions
    Hilal, Khalid
    Ibnelazyz, Lahcen
    Guida, Karim
    Melliani, Said
    ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
  • [36] Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
    Salem, Ahmed
    Alzahrani, Faris
    Almaghamsi, Lamya
    MATHEMATICS, 2019, 7 (05)
  • [37] Positive solutions for the Riemann-Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals
    Yu, Yang
    Ge, Qi
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01)
  • [38] Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals
    Yang Yu
    Qi Ge
    Boundary Value Problems, 2024
  • [39] Existence and uniqueness of positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions
    J. Caballero
    J. Harjani
    K. Sadarangani
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [40] Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance
    Zhang, Wei
    Liu, Wenbin
    BOUNDARY VALUE PROBLEMS, 2018,
12345