[PDF][PDF] Stability analysis of multi-point boundary conditions for fractional differential equation with non-instantaneous integral impulse

G Li, Y Zhang, Y Guan, W Li - Math. Biosci. Eng, 2023 - aimspress.com
This paper considers the stability of a fractional differential equation with multi-point
boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for …

Stability of a nonlinear Langevin system of ML-type fractional derivative affected by time-varying delays and differential feedback control

K Zhao - Fractal and Fractional, 2022 - mdpi.com
The Langevin system is an important mathematical model to describe Brownian motion. The
research shows that fractional differential equations have more advantages in …

Existence and UH-stability of integral boundary problem for a class of nonlinear higher-order Hadamard fractional Langevin equation via Mittag-Leffler functions

K Zhao - Filomat, 2023 - doiserbia.nb.rs
The Langevin equation is a very important mathematical model in describing the random
motion of particles. The fractional Langevin equation is a powerful tool in complex …

Stability of a nonlinear fractional Langevin system with nonsingular exponential kernel and delay control

K Zhao - Discrete Dynamics in Nature and Society, 2022 - Wiley Online Library
Fractional Langevin system has great advantages in describing the random motion of
Brownian particles in complex viscous fluid. This manuscript deals with a delayed nonlinear …

Existence, stability and simulation of a class of nonlinear fractional Langevin equations involving nonsingular Mittag–Leffler kernel

K Zhao - Fractal and Fractional, 2022 - mdpi.com
The fractional Langevin equation is a very effective mathematical model for depicting the
random motion of particles in complex viscous elastic liquids. This manuscript is mainly …

Stability of a nonlinear ML-nonsingular kernel fractional Langevin system with distributed lags and integral control

K Zhao - Axioms, 2022 - mdpi.com
The fractional Langevin equation has more advantages than its classical equation in
representing the random motion of Brownian particles in complex viscoelastic fluid. The …

Existence and stability results for nonlocal boundary value problems of fractional order

VS Ertürk, A Ali, K Shah, P Kumar… - Boundary Value …, 2022 - Springer
In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary
value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function …

Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

D Luo, Z Luo - Mathematica Slovaca, 2020 - degruyter.com
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a
class of fractional differential equations involving time-varying delays and non …

Existence, uniqueness and Hyers–Ulam stability of a fractional order iterative two-point boundary value problems

KR Prasad, M Khuddush, D Leela - Afrika Matematika, 2021 - Springer
In this paper, we consider the fractional order iterative two-point boundary value problem^
CD^\upsigma _ 0^+ ϖ (t) &= f (t, ϖ (t), ϖ^ 2 (t)),~ t ∈ 0, 1,\ϖ (0) &= A,\, ϖ (1)= B, CD 0+ σ ϖ …

Iterative sequential approximate solutions method to Hyers–Ulam stability of time-varying delayed fractional-order neural networks

M Li, X Yang, Q Song, X Chen - Neurocomputing, 2023 - Elsevier
There is a key issue in the field of stability analysis for fractional-order neural networks
(FONNs) concerning whether the exact solution of the FONNs exists under the condition that …