Results 191 to 200 of about 9,426 (207)

Fractional Langevin type delay equations with two fractional derivatives

Applied Mathematics Letters, 2020
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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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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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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.
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Stability of a Nonlinear Langevin System of ML-Type Fractional Derivative Affected by Time-Varying Delays and Differential Feedback Control

Fractal and Fractional, 2022
Kaihong Zhao
exaly  

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

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

Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag–Leffler functions

Applicable Analysis, 2022
Mohamed I Abbas, Maria Alessandra Ragusa
exaly