Results 181 to 190 of about 9,437 (210)

Stochastic Resonance in a Linear Fractional Langevin Equation

Journal of Statistical Physics, 2012
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Zhong, Suchuan, Wei, Kun, Gao, Shilong, Ma, Hong   +3 more
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Fractional Langevin equation and Riemann-Liouville fractional derivative

The European Physical Journal E, 2007
In this present work we consider a fractional Langevin equation with Riemann-Liouville fractional time derivative which modifies the classical Newtonian force, nonlocal dissipative force, and long-time correlation. We investigate the first two moments, variances and position and velocity correlation functions of this system.
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Fractional Langevin type delay equations with two fractional derivatives

Applied Mathematics Letters, 2020
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On fractional Langevin equation involving two fractional orders

Communications in Nonlinear Science and Numerical Simulation, 2017
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Stability of nonlocal fractional Langevin differential equations involving fractional integrals

Journal of Applied Mathematics and Computing, 2016
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Gao, Zhuoyan, Yu, Xiulan
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New Existence Results for Fractional Langevin Equation

Iranian Journal of Science and Technology, Transactions A: Science, 2019
Solvability of new form of nonlinear Langevin equation involving three fractional orders is discussed in this article. First, based on the Leray–Schauder nonlinear alternative an existence result for the solution is presented and then using the Banach contraction principle sufficient conditions for unique solution are established.
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Fractional Brownian motions described by scaled Langevin equation

Chaos, Solitons & Fractals, 1993
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Koyama, Junji, Hara, Hiroaki
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Existence Theory and Stability Analysis of Fractional Langevin Equation

International Journal of Nonlinear Sciences and Numerical Simulation, 2019
Abstract In this paper, we consider a non local boundary value problem of nonlinear fractional Langevin equation with non-instantaneous impulses. Initially, we form a standard framework to originate a formula of solutions to our proposed model and then implement the concept of generalized Ulam–Hyers–Rassias using Diaz–Margolis’s fixed ...
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Fractional Langevin equation with anti-periodic boundary conditions

Chaos, Solitons & Fractals, 2018
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Hossein Fazli, Juan J. Nieto
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Well-Posedness of a Class of Fractional Langevin Equations

Qualitative Theory of Dynamical Systems
The authors study the existence, uniqueness and stability of solutions for the following nonlinear fractional Langevin equation in a real Banach space \[ \begin{gathered} ^CD^{\beta}_{0^+} (^CD^{\alpha}_{0^+}+\lambda) u(\tau)=f(\tau, u(\tau), I^{\gamma}_{0^+} u(\tau) ^CD^{\rho}_{0^+} u(\tau)),\\ \begin{aligned} u^{(k)}(0) &=u_k\\ u^{(k+\alpha)}(0 ...
Zhou, Mi, Zhang, Lu
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