Fractional Langevin equations of distributed order

被引：74

作者：

Eab, C. H. ^{[1
]}

Lim, S. C. ^{[2
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Chem, Bangkok 10330, Thailand

[2] Multimedia Univ Malaysia, Fac Engn, Cyberjaya 63100, Selangor, Malaysia

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 03期

关键词：

ANOMALOUS DIFFUSION; RANDOM-WALK; VARIABLE ORDER; DISCRETE; MODELS;

D O I：

10.1103/PhysRevE.83.031136

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Distributed-order fractional Langevin-like equations are introduced and applied to describe anomalous diffusion without unique diffusion or scaling exponent. It is shown that these fractional Langevin equations of distributed order can be used to model the kinetics of retarding subdiffusion whose scaling exponent decreases with time and the strongly anomalous ultraslow diffusion with mean square displacement which varies asymptotically as a power of logarithm of time.

引用

页数：10

共 50 条

[41] Stability of nonlocal fractional Langevin differential equations involving fractional integrals
Zhuoyan Gao
Xiulan Yu
Journal of Applied Mathematics and Computing, 2017, 53 : 599 - 611
[42] FRACTIONAL LANGEVIN TYPE EQUATIONS FOR WHITE NOISE DISTRIBUTIONS
Ji, Un Cig
Lee, Mi Ra
Ma, Peng Cheng
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2021, 24 (04) : 1160 - 1192
[43] Fractional Langevin Equations with Nonlocal Integral Boundary Conditions
Salem, Ahmed
Alzahrani, Faris
Almaghamsi, Lamya
MATHEMATICS, 2019, 7 (05)
[44] Fractional Langevin Equations with Nonseparated Integral Boundary Conditions
Hilal, Khalid
Ibnelazyz, Lahcen
Guida, Karim
Melliani, Said
ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
[45] Well-Posedness of a Class of Fractional Langevin Equations
Zhou, Mi
Zhang, Lu
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
[46] Measure of Noncompactness for Hybrid Langevin Fractional Differential Equations
Salem, Ahmed
Alnegga, Mohammad
AXIOMS, 2020, 9 (02)
[47] Fractional Langevin Type Equations for White Noise Distributions
Un Cig Ji
Mi Ra Lee
Peng Cheng Ma
Fractional Calculus and Applied Analysis, 2021, 24 : 1160 - 1192
[48] Ulam-Hyers stability of fractional Langevin equations
Wang, JinRong
Li, Xuezhu
APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 72 - 83
[49] Nonlinear Langevin equations and inclusions involving mixed fractional order derivatives and variable coefficient with fractional nonlocal-terminal conditions
Ahmad, Bashir
Alsaedi, Ahmed
Ntouyas, Sotiris K.
AIMS MATHEMATICS, 2019, 4 (03): : 626 - 647
[50] Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives
Rizwan, Rizwan
Zada, Akbar
Waheed, Hira
Riaz, Usman
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (06) : 2405 - 2423

← 1 2 3 4 5 →