Results 11 to 20 of about 165,391 (271)

Multiplicity of Solutions for Quasilinear Differential Models Generated by Instantaneous and Non-Instantaneous Impulses

Symmetry, 2022
This paper aims to deal with the multiplicity of weak solutions for quasilinear differential models generated by instantaneous and non-instantaneous impulses. By establishing the new variational structure and overcoming the influence of impulsive effects brought by the quasilinear term, some new results are acquired via the gene property, which extends
Shen, Tengfei, Liu, Wenbin, Zhang, Wei
openaire   +3 more sources

Exact Controllability for a Class of Fractional Semilinear System of Order 1

Journal of Applied Mathematics, 2023
This paper is mainly concerned with the existence of mild solutions and exact controllability for a class of fractional semilinear system of order q∈1,2 with instantaneous and noninstantaneous impulses.
Yunhao Chu, Yansheng Liu
doaj   +2 more sources

Existence and Nonexistence of Nontrivial Solutions for Fractional Advection–Dispersion Equation with Instantaneous and Non-Instantaneous Impulses

Fractal and Fractional
In this paper, we consider a class of fractional advection–dispersion equations involving instantaneous and non-instantaneous impulses. The existence of nontrivial solutions is established via Bonanno and D’Aguì’s critical point theorem.
Dandan Min, Limin Guo
doaj   +2 more sources

Qualitative Analysis and Applications of Fractional Stochastic Systems with Non-Instantaneous Impulses

Mathematics
Fractional stochastic differential Equations (FSDEs) with time delays and non-instantaneous impulses describe dynamical systems whose evolution relies not only on their current state but also on their historical context, random fluctuations, and ...
Muhammad Imran Liaqat, Abdelhamid Mohammed Djaouti   +1 more
doaj   +2 more sources

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

Alexandria Engineering Journal
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

Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses [PDF]

Mediterranean Journal of Mathematics, 2015
The paper deals with the following problem involving a semilinear differential equation subject to the action of non-istantaneous impulses: \[ \begin{aligned} & u'(t)=Au(t)+f(t,u(t))\;,\;t\in [s_i,t_{i+1}],\, i\in \mathbb{N},\\ & u(t)=g_i(t,N_i(t)(u))\;,\;t\in (t_i,s_i],\, i\in \mathbb{N},\\ & u(0)=x_0, \end{aligned} \] where: \(A:D(A)\subseteq X\to X\)
Pierri, Michelle, Henriquez, Hernan R., Prokopczyk, Andrea   +2 more
openaire   +4 more sources

Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses

Fractal and Fractional, 2020
This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional ...
Abdelkrim Salim, Mouffak Benchohra, John R. Graef, Jamal Eddine Lazreg   +3 more
doaj   +2 more sources

On abstract differential equations with non instantaneous impulses [PDF]

Topological Methods in Nonlinear Analysis, 2015
We introduce a class of abstract differential equation with non instantaneous impulses which extend and generalize some recent models considered in the literature. We study the existence of mild and classical solution and present some applications involving partial differential equations with non-instantaneous impulses.
Hernández, Eduardo, Pierri, Michelle, O'Regan, Donal   +2 more
openaire   +4 more sources

Boundary Value Problems of Fractional Order Differential Equation with Integral Boundary Conditions and Not Instantaneous Impulses [PDF]

Journal of Function Spaces, 2015
We investigate the existence of mild solutions for fractional order differential equations with integral boundary conditions and not instantaneous impulses. By some fixed-point theorems, we establish sufficient conditions for the existence and uniqueness
Peiluan Li, Changjin Xu
doaj   +2 more sources

Total Controllability of Non-Autonomous Measure Evolution Systems with Non-Instantaneous Impulses and State-Dependent Delay

Mathematics, 2022
This paper is concerned with the existence of mild solutions and total controllability for a class of non-autonomous measure evolution systems with non-instantaneous impulses and state-dependent delay.
Yang Wang, Yongyang Liu, Yansheng Liu
doaj   +2 more sources