Results 211 to 220 of about 1,340 (226)

A Study on Langevin Equations with ψ-Hilfer Fractional Derivative

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2019
Summary: In this paper, we discuss the existence, uniqueness and four types of Ulam stability results for a general class of Langevin equations. An example is given to illustrate the applicability of these results.
Harikrishnan, S., Kanagarajan, K., Vivek, D.   +2 more
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From the Langevin equation to the fractional Fokker–Planck equation

AIP Conference Proceedings, 2000
It is demonstrated how the competition of Langevin-type motion driven by a δ-correlated, Gaussian noise with a trapping mechanism results in a fractional generalisation of the Klein-Kramers equation. From the latter, the fractional Fokker-Planck equation is derived which describes subdiffusion processes in an external force field.
openaire   +1 more source

Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries

Physical Review E, 2010
Motivated by subdiffusive motion of biomolecules observed in living cells, we study the stochastic properties of a non-Brownian particle whose motion is governed by either fractional Brownian motion or the fractional Langevin equation and restricted to a finite domain.
Jae-Hyung, Jeon, Ralf, Metzler
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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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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.
openaire   +1 more source

Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions

International Journal of Computer Mathematics, 2021
Hossein Fazli, Hongguang Sun
exaly  

q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions

Mathematics, 2023
Akbar Zada, Jun Ye, Zada Akbar
exaly  

A note on Euler method for the overdamped generalized Langevin equation with fractional noise

Applied Mathematics Letters, 2021
Xinjie Dai, Aiguo Xiao
exaly  

A study of nonlinear Langevin equation involving two fractional orders in different intervals

Nonlinear Analysis: Real World Applications, 2012
Bashir Ahmad, Juan J Nieto, Ahmed Alsaedi   +2 more
exaly  

Fractional generalized Langevin equation approach to single-file diffusion

Physica A: Statistical Mechanics and Its Applications, 2010
S C Lim
exaly