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An Averaging Principle for Hilfer Fractional Stochastic Evolution Equations with Non-Instantaneous Impulses [PDF]

Fractal and Fractional
This paper investigates non-instantaneous impulsive Hilfer fractional stochastic evolution equations. To obtain a more accurate convergence rate, an equivalent form of the above equation is derived by the time-scale separation method. Then, we prove that
Beibei Li, Junyan Bao, Peiguang Wang
doaj   +2 more sources

Existence and multiplicity of solutions for a fourth-order differential system with instantaneous and non-instantaneous impulses [PDF]

Open Mathematics, 2023
The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang, Zhang Xingyong, Xie Junping   +2 more
doaj   +2 more sources

Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results

Alexandria Engineering Journal, 2023
In the current article, we establish the existence and uniqueness of solutions to the initial value problem for nonlinear implicit fractional differential equations with non-instantaneous impulses, including the Caputo-Fabrizio fractional derivative ...
Ahlem Benzahi, Nadjet Abada, Nouria Arar, Sahar Ahmed Idris, Mohammed S. Abdo, Wasfi Shatanawi   +5 more
doaj   +2 more sources

Existence and Stability of Solutions for p-Proportional ω-Weighted κ-Hilfer Fractional Differential Inclusions in the Presence of Non-Instantaneous Impulses in Banach Spaces

Fractal and Fractional
In this work, we introduce a new definition for the fractional differential operator that generalizes several well-known fractional differential operators.
Feryal Aladsani, Ahmed Gamal Ibrahim
doaj   +2 more sources

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

Mathematical Biosciences and Engineering, 2023
Guodong Li, Ying Zhang, Yajuan Guan, Wenjie Li   +3 more
exaly   +2 more sources

Instantaneous and Non-Instantaneous Impulsive Boundary Value Problem Involving the Generalized ψ-Caputo Fractional Derivative

Fractal and Fractional, 2023
This paper studies a new class of instantaneous and non-instantaneous impulsive boundary value problem involving the generalized ψ-Caputo fractional derivative with a weight.
Dongping Li, Yankai Li, Fangqi Chen, Xiaozhou Feng   +3 more
doaj   +1 more source

Non-Instantaneous Impulses in Caputo Fractional Differential Equations [PDF]

Fractional Calculus and Applied Analysis, 2017
Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing non-instantaneous impulses in Caputo fractional differential equations. In the literature there are two approaches in interpretation of the
Agarwal, Ravi, Hristova, Snezhana, O’Regan, Donal   +2 more
openaire   +3 more sources

Stability of Differential Systems with Impulsive Effects

Mathematics, 2023
In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered.
Chunxiang Li, Fangshu Hui, Fangfei Li
doaj   +1 more source

Asymptotic stability of non‐instantaneous impulsive systems and T‐S fuzzy non‐instantaneous impulsive control for nonlinear systems

IET Control Theory & Applications, 2023
Abstract This paper studies the asymptotic stability for a class of non‐instantaneous impulsive systems and Takagi‐Sugeno (T‐S) fuzzy non‐instantaneous impulsive control for linear and nonlinear systems. First, a class of concrete comparison system for a more accurate and universal nonlinear non‐instantaneous impulsive model is ...
Hao Deng, Chuandong Li, Yinuo Wang
openaire   +2 more sources

Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations

Advances in Difference Equations, 2020
In this paper, we investigate the existence and stability of solutions for a class of optimal control problems with 1-mean equicontinuous controls, and the corresponding state equation is described by non-instantaneous impulsive differential equations ...
Yi Chen, Kaixuan Meng
doaj   +1 more source