Results 201 to 210 of about 1,340 (226)

Numerics for the fractional Langevin equation driven by the fractional Brownian motion

Fractional Calculus and Applied Analysis, 2013
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Caibin Zeng, Changpin Li, Yangquan Chen   +2 more
exaly   +3 more sources

Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument

Mathematical Methods in the Applied Sciences, 2022
© 2021 John Wiley & Sons, Ltd.In this paper, we give the existence and uniqueness result for the fractional order Langevin equation with modified argument by using the Bielecki norm.
Faruk Develi
exaly   +2 more sources

Ulam–Hyers stability of fractional Langevin equations

Applied Mathematics and Computation, 2015
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Jin Rong Wang 0001, Xuezhu Li
openaire   +1 more source

Existence Theory and Ulam’s Stabilities of Fractional Langevin Equation

Qualitative Theory of Dynamical Systems, 2021
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Rizwan Rizwan, Akbar Zada
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Fractional Langevin Type Equations for White Noise Distributions

Fractional Calculus and Applied Analysis, 2021
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Ji, Un Cig, Lee, Mi Ra, Ma, Peng Cheng
openaire   +2 more sources

Bifurcation dynamics of the tempered fractional Langevin equation

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016
Tempered fractional processes offer a useful extension for turbulence to include low frequencies. In this paper, we investigate the stochastic phenomenological bifurcation, or stochastic P-bifurcation, of the Langevin equation perturbed by tempered fractional Brownian motion.
Caibin Zeng, Qigui Yang, YangQuan Chen
openaire   +2 more sources

Fractional Generalized Langevin Equation

2019
FGLEs are generalizations of the GLE where the integer order derivatives is substituted by fractional derivatives. Recently, some GLE models for a particle driven by single or multiple fractional Gaussian noise have been investigated in order to describe generalized diffusion processes, such as accelerating and retarding diffusion.
Trifce Sandev, Živorad Tomovski
openaire   +1 more source

Solution of the fractional Langevin equation and the Mittag–Leffler functions

Journal of Mathematical Physics, 2009
We introduce the fractional generalized Langevin equation in the absence of a deterministic field, with two deterministic conditions for a particle with unitary mass, i.e., an initial condition and an initial velocity are considered. For a particular correlation function, that characterizes the physical process, and using the methodology of the Laplace
Camargo, R. Figueiredo, Chiacchio, Ary O., Charnet, R., de Oliveira, E. Capelas   +3 more
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Fractional Langevin type delay equations with two fractional derivatives

Applied Mathematics Letters, 2020
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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
openaire   +1 more source