[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 …
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 …
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 …
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 …
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 …
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 …
representing the random motion of Brownian particles in complex viscoelastic fluid. The …
Existence and stability results for nonlocal boundary value problems of fractional order
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 …
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 …
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 …
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
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 …
(FONNs) concerning whether the exact solution of the FONNs exists under the condition that …